GESTURE RECOGNITION

1. INTRODUCTION

1.1 Data

The library, uWaveGestureLibrary, consists over 4000 instances each of which has the accelerometer readings in three dimensions (i.e. x, y and z). This data is the gesture pattern of eight users. All rows are an instance. First column is the class of the gesture, which are stated from one to eight. The columns from second to last are the time ordered observations in the corresponding axis. There are 3 files that are related to X, Y and Z axes.

1.2 Objective

In this assignment, we want to apply principle component analysis (PCA) to be able to describe the 3D information in 1D. Also, we try to reduce the dimension of the time order from 315 to 2. So, we can use much more less column to describe the gesture of the user. Throughout the assignment, we will use data.table, tidyverse and plotly packages.

2. TASKS

2.1 Packages and Funcitons

#Required packages
pti <- c("data.table", "tidyverse", "plotly")
pti <- pti[!(pti %in% installed.packages())]
if(length(pti)>0){
    install.packages(pti)
}

library(data.table)
library(tidyverse)
library(plotly)

Following functions are created in order to accomplish the objective. First function, prepare_data, is used to import the data and rename the columns. Second function, transform_long, is used to transform the wide data into long data, which is called melting the data. Third function, cal_pos, is used to calculate the position information from accelerometer information, which taking the cumulative summation of the cumulative summation of accelerometer. Fourth function, pca_plot, is used to plot the first component of the PCA result. In the plot, we randomly pick 2 instances of the class. The fifth function, pca_class, is used to apply PCA to each class separately.

prepare_data = function(from, ax){
  data = fread(from)
  columns = c("class", paste(paste(ax, 'T', sep = ''), 1:(ncol(data)-1), sep = ''))
  colnames(data) = columns
  data
}

transform_long = function(data, ax){
  data = data[, "time series" := 1:nrow(data)]
  data_long = gather(data, "time index", val, c(-1, -ncol(data)))
  colnames(data_long)[4] = ax
  data_long[,3] = unlist(lapply(data_long[,3], function(x){as.numeric(substring(x, 3, length(x) + 4))}))
  data_long = data_long[order(data_long[,2], data_long[,3]),]
  as.data.table(data_long)
}

cal_pos = function(data, ax){
  x = data[data[, .I[15], by = class]$V1][, -1]
  y = t(x)
  y = y[,order(data[data[, .I[1], by = class]$V1][, class])]
  y = cbind(y, apply(y, 2, cumsum))
  y = cbind(y, apply(y[,9:16], 2, cumsum))
  colnames(y) = c(paste(ax, 1:8, sep = "_"), paste("vel", 1:8, sep = "_"), paste("pos", 1:8, sep = "_"))
  y
}

pca_plot = function(value){
  series = unlist(unique(x_train_long[class == value, 2]))
  set.seed(12345)
  randoms = sample(series, 2)
  
  plot_data = data_long[`time series` %in% randoms,]
  plot_data[,1] = apply(plot_data[,1], 2, as.character)
  ggplot(plot_data, aes(x = `time index`, y = PCA1, color = `time series`)) +
    geom_point() +
  labs(title = paste("1D Representation of Data For Class", value, sep = ' '),
       x = "Time Index",
       y = "First Component")
}

pca_class = function(value){
  data = data_long[data_long$class == value,]
  pca = princomp(data[, 3:5], cor = T)
  summary(pca, loadings=T)
}

2.2 Data Manupilation

With following steps, we imported the data, created a wide and long format of the data.

x_train = prepare_data("https://drive.google.com/uc?export=download&id=1KDhDT0FE5lkjvn62YTCJ87vZ7A5uS5TT", "X")
y_train = prepare_data("https://drive.google.com/uc?export=download&id=1fZCNBdJ40Df5werSu_Ud4GUmCBcBIfaI", "Y")
z_train = prepare_data("https://drive.google.com/uc?export=download&id=1jdZ2_NiFil0b4EbLBAfDJ43VQcOgulpf", "Z")

data_wide = cbind(x_train, y_train[, 2:ncol(y_train)], z_train[, 2:ncol(z_train)])

x_train_long = transform_long(x_train, 'X')
y_train_long = transform_long(y_train, 'Y')
z_train_long = transform_long(z_train, 'Z')

data_long = x_train_long %>%
  left_join(y_train_long, by = c("time series", "time index", "class")) %>%
  left_join(z_train_long, by = c("time series", "time index", "class"))

data_long = data_long[, c(2, 3, 4, 5, 6, 1)]

These are the head of all data that we created.

head(x_train)
##    class          XT1          XT2          XT3          XT4          XT5
## 1:     6 -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:     5  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:     5  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:     3  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:     4  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6:     8 -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##             XT6          XT7          XT8          XT9         XT10
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT11         XT12         XT13         XT14         XT15
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT16         XT17         XT18         XT19         XT20
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.240807820
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT21         XT22         XT23         XT24         XT25
## 1: -0.177372430 -0.068001105  0.041370216  0.150741540  0.260112860
## 2:  1.627311100  1.609648100  1.575794100  1.540003300  1.503773500
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT26         XT27         XT28         XT29         XT30
## 1:  0.321360810  0.382608760  0.382608760  0.382608760  0.382608760
## 2:  1.467543700  1.444690200  1.441720600  1.440816800  1.440816800
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT31         XT32         XT33        XT34        XT35       XT36
## 1:  0.382608760  0.382608760  0.382608760  0.38260876  0.38260876  0.3826088
## 2:  1.440816800  1.440816800  1.440816800  1.44081680  1.44081680  1.4408168
## 3:  0.661276530  0.661276530  0.661276530  0.66127653  0.66127653  0.6612765
## 4:  0.005184784  0.005184784  0.009412931  0.03489926  0.06343925  0.0879762
## 5:  1.286197800  1.286197800  1.286197800  1.28619780  1.28619780  1.2861978
## 6: -0.479252460 -0.479252460 -0.479252460 -0.47925246 -0.47925246 -0.4792525
##          XT37       XT38        XT39        XT40        XT41        XT42
## 1:  0.3826088  0.3826088  0.38260876  0.38260876  0.38260876  0.38260876
## 2:  1.4408168  1.4408168  1.44081680  1.44081680  1.44081680  1.44081680
## 3:  0.6612765  0.6612765  0.66127653  0.66127653  0.66127653  0.66127653
## 4:  0.0985955  0.1004551  0.09563971  0.08289655  0.05433698  0.02151991
## 5:  1.2861978  1.2861978  1.28619780  1.28619780  1.28619780  1.28619780
## 6: -0.4792525 -0.4883355 -0.49741855 -0.50665299 -0.51588742 -0.52133725
##          XT43       XT44       XT45       XT46       XT47       XT48       XT49
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6612765  0.6587422  0.6487222  0.6036406  0.5585591  0.5134775  0.4683960
## 4: -0.0154470 -0.0749151 -0.1343832 -0.1896036 -0.2193376 -0.2490717 -0.2671783
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871
##          XT50       XT51       XT52       XT53       XT54       XT55       XT56
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.4233146  0.3782332  0.3445523  0.3422697  0.4227441  0.5129071  0.5973137
## 4: -0.2501874 -0.2229785 -0.1992735 -0.1865303 -0.1853558 -0.1902495 -0.2011331
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871
##          XT57       XT58       XT59       XT60       XT61       XT62       XT63
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6498137  0.6612765  0.6612765  0.6612765  0.6612765  0.6612765  0.6612765
## 4: -0.2308671 -0.2581935 -0.2806262 -0.2806262 -0.2806262 -0.2868607 -0.3144709
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2779025  1.2642139  1.2482806
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5246677 -0.5225483
##          XT64       XT65       XT66       XT67       XT68       XT69       XT70
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.4077641
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6612765  0.6871626  0.7246188  0.7697002  0.8147817  0.9127019  1.0339118
## 4: -0.3437351 -0.3734692 -0.4032033 -0.4329373 -0.4561628 -0.4710299 -0.4711669
## 5:  1.2334768  1.2231907  1.2228680  1.2228680  1.2218477  1.2160107  1.2000774
## 6: -0.5040794 -0.4856105 -0.4671417 -0.4486728 -0.4102211 -0.3717695 -0.3163629
##          XT71       XT72       XT73        XT74        XT75        XT76
## 1:  0.4329195  0.4876051  0.5422907  0.59697629  0.65166190  0.68884810
## 2:  1.4408168  1.4408168  1.4317141  1.40379940  1.37073290  1.33450310
## 3:  1.1691562  1.3044006  1.4137290  1.50926460  1.59942760  1.68959050
## 4: -0.4711669 -0.4711669 -0.4711669 -0.47116689 -0.47116689 -0.47116689
## 5:  1.1841441  1.1682109  1.1605887  1.15953830  1.15953830  1.15953830
## 6: -0.2609563 -0.2055496 -0.1501430 -0.09473632 -0.03932967  0.01607697
##           XT77       XT78       XT79       XT80       XT81       XT82
## 1:  0.72603429  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343
## 2:  1.29827330  1.2620436  1.2258138  1.1895840  1.1533542  1.1171244
## 3:  1.77975350  1.8699163  1.9600792  2.0483183  2.0947528  2.0947528
## 4: -0.47116689 -0.4711669 -0.4711669 -0.4711669 -0.4711669 -0.4711669
## 5:  1.16901210  1.1831357  1.1990690  1.2122894  1.2141045  1.1988673
## 6:  0.07148362  0.1268903  0.1822969  0.2377036  0.2931103  0.3485169
##          XT83       XT84       XT85       XT86       XT87       XT88       XT89
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343
## 2:  1.0808946  1.0446647  1.0084348  0.9722049  0.9359751  0.8997452  0.8635154
## 3:  2.0947528  2.0905913  2.0707855  2.0257040  1.9806226  1.9355412  1.8904598
## 4: -0.4711669 -0.4778027 -0.4917987 -0.5215327 -0.5472734 -0.5664371 -0.5664371
## 5:  1.1829340  1.1652931  1.1425966  1.1107300  1.0788634  1.0469968  1.0241374
## 6:  0.4039236  0.4441918  0.4844600  0.5213978  0.5583356  0.5952734  0.6322111
##          XT90       XT91       XT92       XT93       XT94       XT95       XT96
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.6768172
## 2:  0.8272855  0.7910558  0.7548260  0.7185962  0.6607137  0.5974342  0.5249745
## 3:  1.8453783  1.8002969  1.7477646  1.6838840  1.5937210  1.5035580  1.4133951
## 4: -0.5664371 -0.5749325 -0.6046666 -0.6344006 -0.6641346 -0.6938687 -0.7236028
## 5:  1.0080712  0.9921378  0.9762045  0.9496411  0.9191270  0.8872605  0.8569552
## 6:  0.6691489  0.7060867  0.7430244  0.7799622  0.8169000  0.8538377  0.8907755
##          XT97       XT98       XT99      XT100      XT101      XT102      XT103
## 1:  0.6276002  0.5729146  0.5182290  0.4635434  0.4088578  0.3541721  0.2994864
## 2:  0.4525148  0.3800551  0.3257620  0.2784928  0.2422630  0.2060332  0.1698035
## 3:  1.3232321  1.2330691  1.1429061  1.0659304  1.0237022  1.0196454  1.0196454
## 4: -0.7533369 -0.7830709 -0.8128049 -0.8361282 -0.8522480 -0.8522480 -0.8522480
## 5:  0.8335594  0.8172750  0.8013417  0.7854085  0.7694752  0.7535419  0.7376087
## 6:  0.9277133  0.9655594  1.0034055  1.0495777  1.0957499  1.1419221  1.1880943
##         XT104       XT105       XT106       XT107       XT108       XT109
## 1:  0.2448007  0.19011500  0.13542925  0.08074350  0.02605784 -0.02862782
## 2:  0.1335736  0.09734376  0.06111389  0.02488402 -0.01134588 -0.04757575
## 3:  1.0196454  1.01964540  1.01964540  1.01964540  1.01964540  1.01964540
## 4: -0.8522480 -0.85224800 -0.85224800 -0.84206914 -0.81445897 -0.78489134
## 5:  0.7216754  0.70574211  0.68980884  0.67387557  0.65794229  0.64200899
## 6:  1.2342665  1.28043870  1.32661090  1.37278310  1.41895530  1.46512750
##          XT110      XT111      XT112      XT113      XT114      XT115
## 1: -0.08331339 -0.1379990 -0.1926846 -0.2473702 -0.2758067 -0.3042432
## 2: -0.08380559 -0.1200354 -0.1562652 -0.1924949 -0.2287248 -0.2649546
## 3:  1.01964540  1.0196454  1.0196454  1.0548414  1.0966834  1.1417650
## 4: -0.76523832 -0.7569778 -0.7569778 -0.7656102 -0.7824641 -0.8121981
## 5:  0.62607568  0.6101424  0.5942091  0.5782758  0.5623425  0.5464092
## 6:  1.48495880  1.5047902  1.5232591  1.5417279  1.5497513  1.5577747
##         XT116      XT117      XT118      XT119      XT120      XT121      XT122
## 1: -0.3042432 -0.3042432 -0.3042432 -0.3042432 -0.3414295 -0.3786157 -0.4879871
## 2: -0.3011845 -0.3374144 -0.3736443 -0.4098741 -0.4461040 -0.4823338 -0.5185636
## 3:  1.1868466  1.1972603  1.1988303  1.1986957  1.1969837  1.1645911  1.1195095
## 4: -0.8360988 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480
## 5:  0.5304760  0.5145427  0.4986093  0.4826760  0.4667427  0.4508094  0.4348762
## 6:  1.5485403  1.5393058  1.5300714  1.5208370  1.5116025  1.5023681  1.4931336
##         XT123      XT124      XT125      XT126      XT127      XT128      XT129
## 1: -0.5973584 -0.7067298 -0.8161011 -0.9145353 -1.0129694 -1.0676551 -1.1223407
## 2: -0.5547933 -0.5910231 -0.6272529 -0.6634827 -0.6997125 -0.7359423 -0.7721721
## 3:  1.0744280  1.0293465  0.9842650  0.9391836  0.8941022  0.8305555  0.7308959
## 4: -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8607043
## 5:  0.4189429  0.4030096  0.3999527  0.3995809  0.3995809  0.3976764  0.3863819
## 6:  1.4838991  1.4746647  1.4654302  1.4561958  1.4469614  1.4377269  1.4284925
##         XT130      XT131      XT132      XT133      XT134       XT135
## 1: -1.1770263 -1.2317119 -1.2929598 -1.3542077 -1.5182647 -1.68232160
## 2: -0.8084020 -0.8446318 -0.8808617 -0.9170916 -0.9533215 -0.98955132
## 3:  0.5956515  0.4604070  0.3365333  0.2275812  0.1374182  0.04725522
## 4: -0.8771275 -0.9068616 -0.9365957 -0.9663298 -0.9960638 -1.02579780
## 5:  0.3707397  0.3548064  0.3425099  0.3362512  0.3362512  0.33625122
## 6:  1.4132027  1.3979129  1.3794440  1.3609751  1.3432631  1.32555120
##          XT136      XT137      XT138      XT139      XT140      XT141
## 1: -1.84637860 -2.0104356 -2.1744925 -2.3385495 -2.4522956 -2.5660417
## 2: -1.02578110 -1.0620110 -1.0982408 -1.1344706 -1.1551161 -1.1701065
## 3: -0.04290776 -0.1330707 -0.2232337 -0.3133967 -0.3910227 -0.4537770
## 4: -1.06827500 -1.1277431 -1.1872112 -1.2341906 -1.2697384 -1.2994724
## 5:  0.33310331  0.3225365  0.3066032  0.2906698  0.2747365  0.2588033
## 6:  1.31631670  1.3070823  1.2978479  1.2886134  1.2746861  1.2607587
##         XT142      XT143      XT144      XT145      XT146      XT147      XT148
## 1: -2.6754130 -2.7847843 -2.8941556 -3.0035269 -2.9422789 -2.8810310 -2.7716597
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -0.4988584 -0.5439399 -0.5890213 -0.6341028 -0.6791843 -0.7242658 -0.7693472
## 4: -1.3183228 -1.3285996 -1.3285996 -1.3206718 -1.3043269 -1.2745929 -1.2448589
## 5:  0.2428700  0.2269367  0.2130464  0.2098194  0.2095916  0.2095916  0.2011208
## 6:  1.2422898  1.2238209  1.2053521  1.1868832  1.2029299  1.2189766  1.2374455
##         XT149      XT150      XT151       XT152       XT153       XT154
## 1: -2.6622885 -2.5529172 -2.4435459 -2.26417700 -2.08480810 -1.86606550
## 2: -1.1701065 -1.1701065 -1.1701065 -1.17010650 -1.17010650 -1.17010650
## 3: -0.8144287 -0.8595102 -0.9045917 -0.95618455 -1.03949970 -1.12828710
## 4: -1.2151248 -1.1853907 -1.1556566 -1.14004570 -1.13805890 -1.13805890
## 5:  0.1797419  0.1478753  0.1160087  0.09255608  0.08293204  0.08293204
## 6:  1.2559144  1.2643920  1.2728695  1.26363510  1.25440060  1.24516620
##          XT155       XT156       XT157       XT158       XT159       XT160
## 1: -1.64732290 -1.42858030 -1.20983780 -0.99109515 -0.77235254 -0.55360985
## 2: -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650
## 3: -1.21845010 -1.30618340 -1.35354740 -1.39934660 -1.44371030 -1.48650920
## 4: -1.13805890 -1.13805890 -1.13805890 -1.14881520 -1.16779300 -1.19752710
## 5:  0.08278967  0.08097449  0.06720045  0.05126718  0.03533391  0.01940062
## 6:  1.23593180  1.20489800  1.17386420  1.13692640  1.09998860  1.06501880
##           XT161       XT162       XT163       XT164       XT165       XT166
## 1: -0.334867160 -0.11612452  0.10261812  0.28198712  0.46135613  0.57072745
## 2: -1.170106500 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650
## 3: -1.488938800 -1.48893880 -1.49031440 -1.49716220 -1.53573230 -1.58081390
## 4: -1.206120400 -1.18599760 -1.12652950 -1.06904820 -1.02519100 -0.99545699
## 5:  0.003467315 -0.01246599 -0.02839931 -0.04433261 -0.06026589 -0.07619918
## 6:  1.030049100  1.00234570  0.97464242  0.94693909  0.91923577  0.89153245
##          XT167      XT168      XT169      XT170      XT171      XT172
## 1:  0.68009877  0.7894701  0.8988414  1.0082127  1.1175841  1.2269552
## 2: -1.17010650 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.62390190 -1.6461573 -1.6201889 -1.5751074 -1.5300258 -1.5005039
## 4: -0.96572297 -0.9359889 -0.9062548 -0.8765207 -0.8333975 -0.7818572
## 5: -0.09213246 -0.1080657 -0.1239990 -0.1399323 -0.1560934 -0.1752537
## 6:  0.86382912  0.8361258  0.8084225  0.7807192  0.7530158  0.7253125
##         XT173      XT174      XT175      XT176      XT177      XT178      XT179
## 1:  1.3363264  1.4456976  1.5550688  1.6556903  1.7563118  1.7563118  1.7563118
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4712661 -1.4387215 -1.3936401 -1.3485586
## 4: -0.7223891 -0.6731977 -0.6325801 -0.6028461 -0.5731121 -0.5433781 -0.5136441
## 5: -0.2050773 -0.2369439 -0.2688104 -0.3006770 -0.3325436 -0.3644101 -0.3962767
## 6:  0.6976092  0.6699058  0.6422025  0.6099576  0.5777128  0.5407750  0.5038372
##         XT180      XT181      XT182      XT183      XT184      XT185      XT186
## 1:  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.3034771 -1.2583957 -1.2133142 -1.1682327 -1.1419404 -1.1305697 -1.1305697
## 4: -0.4839100 -0.5221395 -0.6113416 -0.7005438 -0.7739197 -0.8382913 -0.8977594
## 5: -0.4281433 -0.4600099 -0.4918765 -0.5237430 -0.5493510 -0.5689210 -0.5848542
## 6:  0.4668995  0.4299617  0.3845464  0.3391311  0.2929589  0.2467867  0.1974354
##         XT187       XT188       XT189       XT190       XT191      XT192
## 1:  1.7563118  1.75631180  1.75631180  1.66881480  1.58131790  1.4719467
## 2: -1.1701065 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.1701065
## 3: -1.1305697 -1.14836210 -1.18421100 -1.22929240 -1.27437390 -1.3036964
## 4: -0.9172950 -0.91292983 -0.88319573 -0.84401683 -0.79520716 -0.7357390
## 5: -0.6010786 -0.62165065 -0.65161268 -0.68347926 -0.71460238 -0.7403551
## 6:  0.1480841  0.09267746  0.03727079 -0.01813588 -0.07354255 -0.1431793
##         XT193      XT194      XT195      XT196      XT197      XT198      XT199
## 1:  1.3625755  1.2532043  1.1438331  1.0344618  0.9250906  0.8157192  0.7063479
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1638702 -1.1502098 -1.1196223 -1.0833925
## 3: -1.3097543 -1.3097543 -1.3097543 -1.3224432 -1.3658127 -1.4107596 -1.4542711
## 4: -0.6762710 -0.6168029 -0.5573349 -0.4978668 -0.4383987 -0.3789306 -0.3194625
## 5: -0.7403551 -0.7403551 -0.7403551 -0.7462538 -0.7601204 -0.7760537 -0.7919871
## 6: -0.2128161 -0.2866916 -0.3605672 -0.4344427 -0.5083182 -0.5821937 -0.6560692
##         XT200      XT201      XT202      XT203      XT204      XT205      XT206
## 1:  0.5969766  0.4876053  0.4351070  0.3826088  0.3826088  0.3826088  0.3826088
## 2: -1.0471627 -1.0153357 -0.9921724 -0.9836120 -0.9836120 -0.9836120 -0.9809006
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388
## 4: -0.2761436 -0.2405762 -0.2108422 -0.1939883 -0.1853558 -0.1853558 -0.1936164
## 5: -0.8006691 -0.8036849 -0.8036849 -0.8040171 -0.8100677 -0.8242570 -0.8401903
## 6: -0.7299447 -0.8038202 -0.8719431 -0.9400661 -1.0047072 -1.0693484 -1.1339895
##         XT207      XT208      XT209      XT210      XT211      XT212      XT213
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2: -0.9684280 -0.9438185 -0.9075886 -0.8713588 -0.8362909 -0.8119397 -0.7971172
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4854701 -1.4689212 -1.4284498
## 4: -0.2132694 -0.2428371 -0.2704473 -0.2806262 -0.2806262 -0.2806262 -0.2994179
## 5: -0.8561236 -0.8720568 -0.8879901 -0.9039234 -0.9198567 -0.9293810 -0.9303444
## 6: -1.1986306 -1.2632718 -1.3279129 -1.3925541 -1.4571953 -1.5086659 -1.5601366
##         XT214      XT215      XT216      XT217      XT218      XT219      XT220
## 1:  0.3957333  0.4088578  0.4635434  0.5182290  0.5729146  0.6276002  0.6768172
## 2: -0.7971172 -0.7971172 -0.7971172 -0.7860778 -0.7680146 -0.7317848 -0.6955550
## 3: -1.3833683 -1.3403153 -1.3163479 -1.3097543 -1.3097543 -1.3097543 -1.3097543
## 4: -0.3261374 -0.3558715 -0.3856055 -0.4153396 -0.4450737 -0.4506134 -0.4377919
## 5: -0.9303444 -0.9303444 -0.9221227 -0.9085622 -0.8926289 -0.8770468 -0.8685760
## 6: -1.5970744 -1.6340121 -1.6709498 -1.7078875 -1.7448253 -1.7817630 -1.8187008
##         XT221      XT222      XT223      XT224      XT225        XT226
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.726034290
## 2: -0.6593252 -0.6322755 -0.6106229 -0.6106229 -0.6106229 -0.610622870
## 3: -1.3097543 -1.3097543 -1.3097543 -1.2834719 -1.2458413 -1.200759900
## 4: -0.4073531 -0.3648759 -0.2939761 -0.2047740 -0.1155719 -0.005131088
## 5: -0.8670147 -0.8670147 -0.8683671 -0.8736703 -0.8896036 -0.905536880
## 6: -1.8556385 -1.8774378 -1.8992370 -1.8900024 -1.8807679 -1.871533300
##         XT227      XT228      XT229      XT230      XT231      XT232      XT233
## 1:  0.7260343  0.7785326  0.8310309  0.8857167  0.9404024  0.9950881  1.0497738
## 2: -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229
## 3: -1.1556784 -1.1105969 -1.0655154 -1.0204339 -0.9753525 -0.9302710 -0.8851895
## 4:  0.1138051  0.2327414  0.3325139  0.4257092  0.5149114  0.5568992  0.5768067
## 5: -0.9214701 -0.9374034 -0.9533367 -0.9692701 -0.9852034 -0.9919666 -0.9936742
## 6: -1.8622988 -1.8391371 -1.8159754 -1.7882722 -1.7605690 -1.7345311 -1.7084931
##         XT234      XT235      XT236      XT237      XT238      XT239      XT240
## 1:  1.0596173  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607
## 2: -0.6106229 -0.6106229 -0.6106229 -0.6061684 -0.5972594 -0.5666720 -0.5304422
## 3: -0.8401080 -0.7950266 -0.7499451 -0.7048636 -0.6597821 -0.6120094 -0.5462224
## 4:  0.5761216  0.5548830  0.5112704  0.4518023  0.3923342  0.3328661  0.2733980
## 5: -0.9936742 -0.9936742 -0.9936742 -0.9936742 -0.9936742 -0.9918646 -0.9854051
## 6: -1.6900242 -1.6715553 -1.6530865 -1.6346176 -1.6161487 -1.5976798 -1.5792110
##         XT241      XT242      XT243      XT244      XT245      XT246
## 1:  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607  1.0104002
## 2: -0.4942124 -0.4579826 -0.4217528 -0.3855229 -0.3492930 -0.3130631
## 3: -0.4560594 -0.3658964 -0.2811060 -0.2101085 -0.1650271 -0.1199456
## 4:  0.2139299  0.1984854  0.1957254  0.1957254  0.2532751  0.3286183
## 5: -0.9694717 -0.9535384 -0.9397058 -0.9390169 -0.9549503 -0.9708836
## 6: -1.5607422 -1.5419705 -1.5231988 -1.4954954 -1.4677920 -1.4400886
##          XT247       XT248       XT249       XT250       XT251       XT252
## 1:  0.95133972  0.84196835  0.73259698  0.62322566  0.51385434  0.42635724
## 2: -0.27884746 -0.25033870 -0.23763371 -0.23763371 -0.23763371 -0.23763371
## 3: -0.08188148 -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207
## 4:  0.41782045  0.50702262  0.59622481  0.68738449  0.79357756  0.92815400
## 5: -0.98681688 -0.99265395 -0.99367425 -0.99367425 -0.99399695 -1.00428300
## 6: -1.41238520 -1.38892060 -1.36545590 -1.34698710 -1.32851830 -1.31004940
##          XT253       XT254       XT255       XT256       XT257       XT258
## 1:  0.33886014  0.28417443  0.22948873  0.17480298  0.12011723  0.05121327
## 2: -0.23763371 -0.23763371 -0.23763371 -0.23763371 -0.23763371 -0.23763371
## 3: -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207
## 4:  1.07635440  1.22290080  1.34807150  1.46700770  1.58594380  1.70488000
## 5: -1.01908680 -1.03502010 -1.05095340 -1.06688660 -1.08282000 -1.09875330
## 6: -1.29158050 -1.27311170 -1.25464280 -1.23617390 -1.21770500 -1.19635980
##          XT259       XT260      XT261      XT262      XT263      XT264
## 1: -0.01769069 -0.12706188 -0.2364331 -0.3458042 -0.4551754 -0.5579844
## 2: -0.23763371 -0.23763371 -0.2376337 -0.2376337 -0.2376337 -0.2376337
## 3: -0.06119350 -0.08744345 -0.1296467 -0.1747281 -0.2165800 -0.2308463
## 4:  1.82381620  1.94275240  2.0616886  2.1806248  2.2983864  2.4045796
## 5: -1.11468660 -1.13061990 -1.1465531 -1.1624864 -1.1784197 -1.1723525
## 6: -1.17501460 -1.14731120 -1.1196078 -1.0919044 -1.0642010 -0.9956239
##         XT265      XT266      XT267      XT268       XT269        XT270
## 1: -0.6607933 -0.7154791 -0.7701648 -0.8248505 -0.87953624 -0.934221990
## 2: -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.23763371 -0.237633710
## 3: -0.2346465 -0.2346465 -0.2346465 -0.1645038 -0.08171203  0.008450843
## 4:  2.4998109  2.5852256  2.6553133  2.6727544  2.67275440  2.672754400
## 5: -1.1570409 -1.1411076 -1.1254496 -1.1212141 -1.12033380 -1.120333800
## 6: -0.9270468 -0.8439369 -0.7608270 -0.6671202 -0.57341336 -0.425662320
##          XT271      XT272       XT273      XT274      XT275      XT276
## 1: -0.98890774 -0.9900015 -0.99109518 -0.9910952 -0.9910952 -0.9910952
## 2: -0.23763371 -0.2376337 -0.23763371 -0.2376337 -0.2376337 -0.2376337
## 3:  0.09861372  0.1186538  0.12372234  0.1237223  0.1237223  0.1577372
## 4:  2.59629520  2.5070927  2.41789040  2.3286882  2.2394860  2.1514583
## 5: -1.12033380 -1.1203338 -1.12033380 -1.1203338 -1.1231527 -1.1322334
## 6: -0.27791127 -0.1301602  0.01759083  0.1326429  0.2476949  0.3400394
##         XT277      XT278      XT279      XT280      XT281      XT282
## 1: -0.9910952 -0.9910952 -0.9910952 -0.9910952 -0.9910952 -0.9910952
## 2: -0.2376337 -0.2353742 -0.2312167 -0.2002161 -0.1639863 -0.1277565
## 3:  0.2024724  0.2474667  0.2885537  0.3029072  0.3029072  0.3029072
## 4:  2.0792471  2.0149636  1.9554955  1.8960274  1.8365593  1.7806733
## 5: -1.1481666 -1.1640999 -1.1792739 -1.1836636 -1.1836636 -1.1836636
## 6:  0.4323838  0.5238200  0.6152561  0.6521938  0.6891316  0.7260694
##          XT283       XT284       XT285       XT286       XT287       XT288
## 1: -0.99109518 -0.99109518 -0.99109518 -0.99109518 -0.99109518 -0.99109518
## 2: -0.09303731 -0.06037112 -0.05113937 -0.05113937 -0.05113937 -0.05113937
## 3:  0.29513240  0.26695612  0.22187458  0.17679304  0.13171150  0.08663002
## 4:  1.73394840  1.75099800  1.78073210  1.81046620  1.78828800  1.76070710
## 5: -1.18386920 -1.19697890 -1.21230310 -1.22823640 -1.24416970 -1.26010290
## 6:  0.76300716  0.77542067  0.78783418  0.76936529  0.75089640  0.73242751
##          XT289        XT290       XT291       XT292       XT293       XT294
## 1: -0.99109518 -0.991095180 -0.99109518 -0.99109518 -0.99109518 -0.99109518
## 2: -0.05113937 -0.051139370 -0.05113937 -0.05113937 -0.05157836 -0.05395409
## 3:  0.04154861 -0.003532826 -0.03656331 -0.05546207 -0.05546207 -0.05546207
## 4:  1.73097300  1.701239000  1.67150500  1.64403180  1.62916480  1.62478010
## 5: -1.27603620 -1.291969500 -1.30423280 -1.31032300 -1.31032300 -1.31032300
## 6:  0.71395862  0.687466370  0.66097412  0.63327079  0.60556747  0.58603890
##          XT295       XT296      XT297      XT298      XT299      XT300
## 1: -0.99109518 -0.99109518 -0.9910952 -0.9910952 -0.9910952 -0.9910952
## 2: -0.07252088 -0.10875067 -0.1449805 -0.1810941 -0.2155421 -0.2376337
## 3: -0.06809614 -0.09483699 -0.1399184 -0.1849999 -0.2300813 -0.2751628
## 4:  1.62258770  1.61409230  1.5883710  1.5586369  1.5289028  1.4991688
## 5: -1.31239360 -1.32423940 -1.3401727 -1.3561061 -1.3720394 -1.3879726
## 6:  0.56651033  0.56651033  0.5665103  0.5665103  0.5665103  0.5665103
##         XT301      XT302      XT303      XT304      XT305      XT306      XT307
## 1: -0.9910952 -0.9757832 -0.9604711 -0.9057854 -0.8510997 -0.7964140 -0.7417282
## 2: -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337
## 3: -0.3202444 -0.3653259 -0.3890267 -0.3713365 -0.3270922 -0.2820107 -0.2369291
## 4:  1.4694348  1.4391135  1.3838932  1.3262260  1.2667580  1.2072899  1.1478218
## 5: -1.4039059 -1.4198392 -1.4323556 -1.4369826 -1.4369826 -1.4369826 -1.4369826
## 6:  0.5665103  0.5665103  0.5665103  0.5678728  0.5692352  0.5784697  0.5877041
##         XT308      XT309      XT310       XT311       XT312       XT313
## 1: -0.6946985 -0.6476688 -0.6476688 -0.64766875 -0.64766875 -0.64766875
## 2: -0.2376337 -0.2376337 -0.2376337 -0.23763371 -0.23763371 -0.23763371
## 3: -0.1918477 -0.1467662 -0.1016848 -0.06120346 -0.05663826 -0.05546207
## 4:  1.0943436  1.0603618  1.0531583  1.04446710  1.01898080  0.90994938
## 5: -1.4369826 -1.4369826 -1.4369826 -1.44034250 -1.45251250 -1.46844580
## 6:  0.5969386  0.6061730  0.6207059  0.63523879  0.65370767  0.67217655
##          XT314       XT315
## 1: -0.64766875 -0.64766875
## 2: -0.23763371 -0.23763371
## 3: -0.05546207 -0.05546207
## 4:  0.79101316  0.67207694
## 5: -1.48437920 -1.50031250
## 6:  0.69064543  0.70911432
head(y_train)
##    class        YT1        YT2        YT3        YT4        YT5        YT6
## 1:     6 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958
## 2:     5  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239
## 3:     5 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:     3  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5:     4 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6:     8 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##           YT7        YT8        YT9       YT10       YT11       YT12       YT13
## 1: -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958
## 2:  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT14       YT15       YT16       YT17       YT18       YT19       YT20
## 1: -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.0515592
## 2:  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT21       YT22       YT23       YT24       YT25       YT26       YT27
## 1: -1.9837226 -1.8667630 -1.7498034 -1.6328438 -1.5158842 -1.4503868 -1.3848894
## 2:  0.6666239  0.6850068  0.7202408  0.7574904  0.7951970  0.8329035  0.8566885
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT28       YT29       YT30       YT31       YT32       YT33       YT34
## 1: -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8597792  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3821855  0.4311240
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT35       YT36       YT37       YT38       YT39       YT40       YT41
## 1: -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1898701 -0.1943401
## 4:  0.4859260  0.5330415  0.5534326  0.5570033  0.5662498  0.5907190  0.6455586
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3724914
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0230950 -0.9661096 -0.9081745 -0.8502393
##          YT42       YT43       YT44       YT45       YT46       YT47       YT48
## 1: -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.2125492 -0.2307584 -0.2479439 -0.2621058 -0.2621058 -0.2621058 -0.2621058
## 4:  0.6967335  0.7399400  0.7399400  0.7399400  0.7399400  0.7399400  0.7399400
## 5: -0.3247511 -0.2667493 -0.2087474 -0.1765722 -0.1668980 -0.1668980 -0.1636934
## 6: -0.8160481 -0.7818568 -0.7818568 -0.7818568 -0.7818568 -0.7818568 -0.7818568
##          YT49        YT50        YT51        YT52        YT53        YT54
## 1: -1.3848894 -1.38488940 -1.38488940 -1.38488940 -1.38488940 -1.38488940
## 2:  0.8607198  0.86071984  0.86071984  0.86071984  0.86071984  0.86071984
## 3: -0.2621058 -0.26210580 -0.26210580 -0.26210580 -0.26210580 -0.26210580
## 4:  0.7399400  0.73993996  0.73993996  0.75151682  0.78414253  0.83898233
## 5: -0.1482753 -0.09127556 -0.03327389  0.02359626  0.06364033  0.06364033
## 6: -0.7818568 -0.78185684 -0.78185684 -0.78185684 -0.78185684 -0.78185684
##           YT55        YT56        YT57        YT58        YT59        YT60
## 1: -1.38488940 -1.38488940 -1.38488940 -1.38488940 -1.38488940 -1.38488940
## 2:  0.86071984  0.86071984  0.86071984  0.86071984  0.86071984  0.86071984
## 3: -0.26210580 -0.26210580 -0.26210580 -0.26210580 -0.26210580 -0.26173439
## 4:  0.87728374  0.89258176  0.83548672  0.78301493  0.73993996  0.73993996
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -0.78185684 -0.78185684 -0.78185684 -0.78185684 -0.78185684 -0.78185684
##           YT61       YT62       YT63       YT64       YT65       YT66
## 1: -1.38488940 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.86071984  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.25228406 -0.2369818 -0.2187726 -0.2005635 -0.1718985 -0.1385603
## 4:  0.73993996  0.7399400  0.7399400  0.7399400  0.7399400  0.7399400
## 5:  0.09383746  0.1436680  0.2016697  0.2555598  0.2930039  0.2941786
## 6: -0.78185684 -0.7707763 -0.7596958 -0.6631372 -0.5665786 -0.4700200
##          YT67        YT68        YT69         YT70        YT71        YT72
## 1: -1.3848894 -1.38488940 -1.38488940 -1.341848300 -1.29880710 -1.20523940
## 2:  0.8607198  0.86071984  0.86071984  0.860719840  0.86071984  0.86071984
## 3: -0.1021420 -0.06572382 -0.02930557  0.007112684  0.04353095  0.07994922
## 4:  0.7399400  0.73993996  0.73993996  0.739939960  0.73993996  0.73993996
## 5:  0.2941786  0.29417865  0.29417865  0.294178650  0.29417865  0.29417865
## 6: -0.3734614 -0.26645548 -0.15944956 -0.043579250  0.07229106  0.18816136
##          YT73       YT74       YT75       YT76       YT77       YT78       YT79
## 1: -1.1116717 -1.0181040 -0.9245362 -0.8234831 -0.7224300 -0.6054704 -0.4885108
## 2:  0.8701935  0.8992460  0.9336602  0.9713667  1.0090731  1.0467796  1.0844861
## 3:  0.1058996  0.1262788  0.1444880  0.1626971  0.1907521  0.2260833  0.2625015
## 4:  0.7399400  0.7372901  0.7224620  0.6653671  0.6082722  0.5511773  0.4940825
## 5:  0.2941786  0.2941786  0.2941786  0.2941786  0.2941786  0.2941786  0.2941786
## 6:  0.3040317  0.4199020  0.5357723  0.6516426  0.7675129  0.8605892  0.9536654
##          YT80       YT81       YT82        YT83        YT84        YT85
## 1: -0.3715511 -0.2545915 -0.1586847 -0.06277777 -0.06277777 -0.06277777
## 2:  1.1221926  1.1598991  1.1976056  1.23289320  1.24278350  1.24891110
## 3:  0.2985312  0.3261182  0.3443273  0.36253647  0.38074563  0.39895477
## 4:  0.4369876  0.3951155  0.3747245  0.37406670  0.37406670  0.37406670
## 5:  0.2991165  0.3248135  0.3815485  0.43955033  0.49133592  0.52471758
## 6:  1.0116008  1.0695362  1.1274716  1.18540710  1.22751300  1.26961890
##           YT86        YT87        YT88        YT89        YT90        YT91
## 1: -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777
## 2:  1.24891110  1.24891110  1.24891110  1.27522230  1.30516180  1.34286820
## 3:  0.41716388  0.43537299  0.45102753  0.46164942  0.46164942  0.46164942
## 4:  0.37406670  0.37406670  0.37406670  0.37406670  0.37406670  0.37406670
## 5:  0.52471758  0.52471758  0.52471758  0.52471758  0.52471758  0.52471758
## 6:  1.30824230  1.34686580  1.39023780  1.43360970  1.49154470  1.54947960
##           YT92        YT93        YT94        YT95       YT96      YT97
## 1: -0.06277777 -0.06277777 -0.06277777 -0.06277777 0.02143312 0.1056440
## 2:  1.38057470  1.41828120  1.43345250  1.44300680 1.44300680 1.4430068
## 3:  0.46164942  0.46164942  0.46164942  0.46164942 0.46164942 0.4616494
## 4:  0.37406670  0.37406670  0.39163869  0.43649895 0.49291725 0.5337745
## 5:  0.52471758  0.52471758  0.52471758  0.52471758 0.52471758 0.5247176
## 6:  1.60741450  1.66534930  1.71030440  1.75525940 1.79388280 1.8325063
##         YT98      YT99     YT100     YT101     YT102     YT103     YT104
## 1: 0.1992117 0.2927793 0.3863470 0.4799146 0.5734823 0.6670500 0.7606177
## 2: 1.4430068 1.4240998 1.3978826 1.3601761 1.3224697 1.2847632 1.2624833
## 3: 0.4616494 0.4616494 0.4616494 0.4616494 0.4616494 0.4616494 0.4653736
## 4: 0.5570033 0.5570033 0.5693131 0.5954550 0.6525499 0.7096447 0.7667396
## 5: 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176
## 6: 1.8673306 1.9021549 1.9021549 1.9021549 1.9021549 1.9021549 1.8920243
##        YT105     YT106     YT107     YT108     YT109     YT110     YT111
## 1: 0.8541854 0.9477532 1.0413209 1.0913796 1.1414383 1.1648302 1.1882221
## 2: 1.2501205 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111
## 3: 0.4884231 0.5220392 0.5584575 0.5948757 0.6312940 0.6677122 0.7041304
## 4: 0.8238347 0.8809297 0.8989340 0.8499954 0.7935394 0.7364444 0.6793495
## 5: 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176
## 6: 1.8818937 1.8625823 1.8432709 1.8239594 1.8046479 1.7302504 1.6558529
##        YT112     YT113     YT114     YT115     YT116     YT117     YT118
## 1: 1.2116140 1.2350059 1.2471697 1.2593335 1.2593335 1.2593335 1.2593335
## 2: 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111
## 3: 0.7405486 0.7911831 0.8445021 0.8991295 0.9537569 0.9943815 1.0314339
## 4: 0.6222546 0.5651597 0.5080649 0.4509700 0.3826741 0.2994937 0.1853038
## 5: 0.5310662 0.5670420 0.6238343 0.6818361 0.7178809 0.7126724 0.6546707
## 6: 1.5786061 1.5013592 1.4313938 1.3614285 1.3034931 1.2455578 1.1876223
##         YT119       YT120       YT121       YT122       YT123      YT124
## 1: 1.25933350 1.243427000 1.227520500 1.180736600  1.13395270  1.0871689
## 2: 1.24891110 1.248911100 1.248911100 1.248911100  1.24891110  1.2459279
## 3: 1.06790650 1.105016200 1.154518300 1.209145600  1.26377300  1.3135066
## 4: 0.07757891 0.008192965 0.008192965 0.008192965 -0.01390833 -0.0628845
## 5: 0.59666902 0.546190720 0.524717580 0.524717580  0.52471758  0.5247176
## 6: 1.12968690 1.071751700 1.013816600 0.955881410  0.89794625  0.8444433
##         YT125      YT126      YT127      YT128      YT129      YT130      YT131
## 1:  1.0403850  0.9842444  0.9281038  0.8345360  0.7409683  0.6474006  0.5538329
## 2:  1.2230568  1.1938967  1.1561902  1.1184837  1.0807773  1.0430708  1.0053643
## 3:  1.3444463  1.3626554  1.3808646  1.3990738  1.4172831  1.4354924  1.4537018
## 4: -0.1199795 -0.1770745 -0.2341694 -0.2912643 -0.3645968 -0.4532274 -0.5674173
## 5:  0.6184648  0.7317618  0.8477653  0.9568357  1.0317240  1.0907852  1.1487869
## 6:  0.7909403  0.7523169  0.7136934  0.6750700  0.6364465  0.6231499  0.6098533
##         YT132      YT133      YT134      YT135       YT136        YT137
## 1:  0.4602652  0.3666975  0.2731298  0.1795622  0.08599451 -0.007573141
## 2:  0.9676579  0.9299514  0.8922449  0.8545384  0.81683187  0.779125350
## 3:  1.4673183  1.4749076  1.4749076  1.4749076  1.47994520  1.490581000
## 4: -0.6721916 -0.7596757 -0.8167707 -0.8738656 -0.95542974 -1.069619600
## 5:  1.1935499  1.2163332  1.2163332  1.2163332  1.22779240  1.266258600
## 6:  0.6098533  0.6098533  0.6082704  0.6066875  0.58737575  0.568064050
##         YT138      YT139      YT140      YT141      YT142      YT143      YT144
## 1: -0.1011408 -0.1947084 -0.2021939 -0.2096793 -0.2096793 -0.2096793 -0.2096793
## 2:  0.7414188  0.7037123  0.6660057  0.6282992  0.5905928  0.5528864  0.5151799
## 3:  1.5087899  1.5269987  1.5401438  1.5472821  1.5472821  1.5472821  1.5519534
## 4: -1.1838095 -1.2979993 -1.4121892 -1.5263790 -1.5987720 -1.6382385 -1.6382385
## 5:  1.3242603  1.3821354  1.4386686  1.4468715  1.4468715  1.4468715  1.4468715
## 6:  0.5487523  0.5294406  0.5395714  0.5497022  0.5883256  0.6269491  0.6655725
##         YT145      YT146      YT147       YT148      YT149      YT150
## 1: -0.2096793 -0.1549422 -0.1002051 -0.03002934  0.0401464  0.1103222
## 2:  0.4907769  0.4734690  0.4725284  0.47252837  0.4725284  0.4619931
## 3:  1.5638780  1.5820873  1.6002966  1.61464590  1.6192558  1.6196585
## 4: -1.6382385 -1.6382385 -1.6382385 -1.63128490 -1.6032824 -1.5461875
## 5:  1.4468715  1.4468715  1.4468715  1.44687150  1.4468715  1.4468715
## 6:  0.7041960  0.6886832  0.6731705  0.65385878  0.6345470  0.6152353
##         YT151      YT152      YT153      YT154      YT155      YT156      YT157
## 1:  0.1804979  0.2506737  0.3208494  0.3910252  0.4612010  0.5313767  0.6015525
## 2:  0.4422127  0.4076238  0.3699174  0.3322110  0.3024194  0.2838752  0.2784329
## 3:  1.6196585  1.6196585  1.6196585  1.6196585  1.6196585  1.6186771  1.6013898
## 4: -1.4890926 -1.4319976 -1.3749027 -1.3178078 -1.2858962 -1.2723649 -1.2723649
## 5:  1.4468715  1.4468715  1.4468715  1.4468715  1.4473897  1.4539975  1.5041391
## 6:  0.5959236  0.5766119  0.5573001  0.5379884  0.5186768  0.5145611  0.5104455
##         YT158      YT159      YT160      YT161      YT162      YT163      YT164
## 1:  0.6717283  0.7419040  0.8120799  0.8822557  0.9524315  1.0226073  1.0843620
## 2:  0.2784329  0.2784329  0.2729906  0.2544464  0.2246547  0.1869482  0.1492416
## 3:  1.5834703  1.5652609  1.5470516  1.5288427  1.5106339  1.4924250  1.4742160
## 4: -1.2723649 -1.2723649 -1.2723649 -1.2588335 -1.2269220 -1.1698270 -1.1127321
## 5:  1.5621409  1.6201428  1.6702843  1.6768921  1.6774104  1.6774104  1.6774104
## 6:  0.5104455  0.5104455  0.5063299  0.5022143  0.4829025  0.4635908  0.4442790
##         YT165       YT166      YT167        YT168       YT169       YT170
## 1:  1.1461167  1.19290050  1.2396843  1.286468100  1.33325190  1.36974320
## 2:  0.1115351  0.07382856  0.0361221 -0.001584341 -0.03929078 -0.07699722
## 3:  1.4560067  1.43779740  1.4191854  1.396366200  1.36380800  1.32738970
## 4: -1.0556372 -0.99854223 -0.9414473 -0.855259870 -0.74802358 -0.63383364
## 5:  1.6774104  1.67741040  1.6774104  1.677410400  1.67741040  1.67741040
## 6:  0.4249673  0.40565557  0.3863438  0.367032150  0.34772045  0.32967509
##         YT171      YT172      YT173      YT174      YT175      YT176      YT177
## 1:  1.4062346  1.4062346  1.4062346  1.4062346  1.4062346  1.4043633  1.4024919
## 2: -0.1147037 -0.1524102 -0.1901168 -0.2278233 -0.2655299 -0.3032364 -0.3409429
## 3:  1.2909714  1.2608379  1.2379575  1.2197484  1.2015393  1.1833302  1.1651211
## 4: -0.5453534 -0.4730357 -0.4159408 -0.3588460 -0.3017511 -0.2446562 -0.1875613
## 5:  1.6765812  1.6648340  1.6142692  1.5562673  1.4982655  1.4402637  1.3822620
## 6:  0.3116297  0.3116297  0.3116297  0.3116297  0.3116297  0.3116297  0.3116297
##         YT178       YT179       YT180       YT181      YT182      YT183
## 1:  1.3791000  1.35570810  1.33231620  1.30892430  1.2855324  1.2621405
## 2: -0.3786493 -0.41635575 -0.45406219 -0.47866680 -0.4979500 -0.4979500
## 3:  1.1469120  1.12870290  1.10292060  1.07154000  1.0351218  0.9987035
## 4: -0.1304664 -0.07337133 -0.01627632 -0.08968403 -0.2609688 -0.4322536
## 5:  1.3242603  1.26625860  1.20825700  1.15025530  1.0922536  1.0342519
## 6:  0.3116297  0.31162973  0.31162973  0.31162973  0.3116297  0.3116297
##         YT184      YT185      YT186      YT187      YT188      YT189      YT190
## 1:  1.2387486  1.2153567  1.1919648  1.1685729  1.1451810  1.1217891  1.0796837
## 2: -0.4979500 -0.4979500 -0.5087003 -0.5241537 -0.5616183 -0.5993247 -0.6370312
## 3:  0.9698745  0.9470725  0.9288634  0.9106542  0.8924451  0.8742359  0.8560268
## 4: -0.5731491 -0.6967546 -0.8109445 -0.8995752 -0.9729078 -1.0300027 -1.0326902
## 5:  0.9990334  0.9857948  0.9857948  0.9847353  0.9678486  0.9167800  0.8587782
## 6:  0.3116297  0.3116297  0.3182780  0.3249263  0.3442380  0.3635497  0.3828614
##         YT191      YT192      YT193      YT194      YT195      YT196      YT197
## 1:  1.0375782  0.9907943  0.9440105  0.8972266  0.8504427  0.8190975  0.7877523
## 2: -0.6661912 -0.6890623 -0.6920455 -0.6920455 -0.6920455 -0.6920455 -0.6920455
## 3:  0.8378177  0.8132433  0.7792719  0.7428537  0.7064354  0.6751424  0.6562418
## 4: -0.9798990 -0.8657092 -0.7596382 -0.6804419 -0.6233469 -0.5662519 -0.4744640
## 5:  0.8007763  0.7427745  0.6847728  0.6267712  0.5687695  0.5107677  0.4527659
## 6:  0.4021731  0.3917258  0.3812785  0.3619668  0.3426551  0.3195443  0.2964336
##         YT198      YT199      YT200       YT201       YT202        YT203
## 1:  0.7643604  0.7409684  0.7175765  0.69418451  0.67079258  0.647400650
## 2: -0.6920455 -0.6920455 -0.6920455 -0.69204552 -0.69204552 -0.692045520
## 3:  0.6379783  0.6197692  0.6015601  0.58335100  0.56514189  0.544315800
## 4: -0.3635068 -0.2493170 -0.1661366 -0.09784064 -0.04074563 -0.033115425
## 5:  0.3947641  0.3367623  0.2787605  0.22075880  0.16275710  0.105964700
## 6:  0.2578102  0.2191867  0.1805633  0.14193980  0.06722560 -0.007488605
##          YT204       YT205       YT206       YT207       YT208       YT209
## 1:  0.62400875  0.60061684  0.57722495  0.55383306  0.53933008  0.52482710
## 2: -0.69204552 -0.69204552 -0.69486746 -0.70784841 -0.73346091 -0.77116747
## 3:  0.51812088  0.46349344  0.40886602  0.35580276  0.30601576  0.26895537
## 4: -0.05705849 -0.11415350 -0.17124847 -0.22834339 -0.28511877 -0.33813545
## 5:  0.06998898  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -0.10404722 -0.20060583 -0.30001370 -0.39942158 -0.55391535 -0.70840912
##          YT210       YT211       YT212       YT213        YT214       YT215
## 1:  0.52482710  0.52482710  0.52482710  0.52482710  0.524827100  0.52482710
## 2: -0.80887400 -0.84537112 -0.87071487 -0.88614150 -0.886141500 -0.88614150
## 3:  0.23253715  0.19331674  0.14352978  0.07441741  0.001580879 -0.07043634
## 4: -0.35768077 -0.35768077 -0.35768077 -0.42984817 -0.532461200 -0.64665111
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.063640326  0.06364033
## 6: -0.86290288 -1.01739660 -1.15352840 -1.28966020 -1.405530500 -1.52140080
##          YT216       YT217       YT218       YT219       YT220       YT221
## 1:  0.52482710  0.52482710  0.52482710  0.52482710  0.52716629  0.52950549
## 2: -0.88614150 -0.88614150 -0.88614150 -0.88614150 -0.88614150 -0.88614150
## 3: -0.13474453 -0.19203519 -0.24666257 -0.30128996 -0.35591735 -0.41054473
## 4: -0.72988793 -0.79929264 -0.85638753 -0.86702470 -0.84240512 -0.78463366
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -1.63727110 -1.75314150 -1.81677520 -1.88040890 -1.93834400 -1.99627920
##          YT222       YT223       YT224       YT225      YT226       YT227
## 1:  0.55289738  0.57628926  0.59968117  0.62307308  0.6464650  0.66985686
## 2: -0.88614150 -0.88614150 -0.88614150 -0.88614150 -0.8861415 -0.88614150
## 3: -0.46517211 -0.51979950 -0.56381101 -0.60323878 -0.6396570 -0.67607528
## 4: -0.71530411 -0.61868623 -0.50449632 -0.39030645 -0.1945524  0.03382744
## 5:  0.06364033  0.05871688  0.03941177 -0.01858989 -0.0765916 -0.13459328
## 6: -2.02255580 -2.04883240 -2.01020900 -1.97158560 -1.9329622 -1.89433880
##         YT228      YT229      YT230      YT231      YT232      YT233      YT234
## 1:  0.6707925  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282
## 2: -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415
## 3: -0.7018716 -0.7226354 -0.7408445 -0.7590537 -0.7772628 -0.7954719 -0.8136810
## 4:  0.2622072  0.4537891  0.6327416  0.8040264  0.8544308  0.8483040  0.7898934
## 5: -0.1925950 -0.2505968 -0.3085987 -0.3666005 -0.3912207 -0.3974369 -0.3974369
## 6: -1.8265894 -1.7588401 -1.6815932 -1.6043463 -1.5305819 -1.4568174 -1.3988822
##         YT235      YT236      YT237      YT238      YT239       YT240
## 1:  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282  0.67172823
## 2: -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.88614150
## 3: -0.8318901 -0.8500992 -0.8683084 -0.8865175 -0.9047266 -0.92293571
## 4:  0.6920163  0.5511772  0.3821476  0.2271757  0.1398607  0.08276584
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.39743692
## 6: -1.3409471 -1.2830119 -1.2250768 -1.1671416 -1.1092065 -1.05127130
##          YT241      YT242      YT243      YT244      YT245      YT246
## 1:  0.67172823  0.6717282  0.6717282  0.6717282  0.6717282  0.6590966
## 2: -0.88614150 -0.8894338 -0.8980877 -0.9263205 -0.9640269 -1.0017334
## 3: -0.94114486 -0.9593540 -0.9775632 -0.9957723 -1.0139814 -1.0321905
## 4:  0.02567097 -0.1159575 -0.2819424 -0.4532272 -0.4771703 -0.4555577
## 5: -0.39743692 -0.3974369 -0.4012605 -0.4290075 -0.4870092 -0.5450109
## 6: -0.99333615 -0.9366673 -0.8799985 -0.8606868 -0.8413750 -0.8220633
##         YT247      YT248      YT249       YT250       YT251      YT252
## 1:  0.6464650  0.6230731  0.5996812  0.57628928  0.55289738  0.5295055
## 2: -1.0373436 -1.0670142 -1.0802370 -1.08023700 -1.08023700 -1.0812851
## 3: -1.0475652 -1.0582365 -1.0582365 -1.05823650 -1.06131650 -1.0690698
## 4: -0.3981997 -0.3125573 -0.2108652 -0.08915785  0.09028335  0.3787274
## 5: -0.6030126 -0.6242612 -0.6279754 -0.62797537 -0.62915009 -0.6665943
## 6: -0.8027515 -0.8011686 -0.7995857 -0.81889740 -0.83820916 -0.8575209
##         YT253      YT254      YT255      YT256      YT257      YT258      YT259
## 1:  0.5061135  0.4827216  0.4593296  0.4359377  0.4125457  0.3891538  0.3657618
## 2: -1.0887028 -1.1092896 -1.1469961 -1.1847027 -1.2222614 -1.2531684 -1.2743330
## 3: -1.0872789 -1.1054881 -1.1236972 -1.1419064 -1.1601155 -1.1783246 -1.1988487
## 4:  0.7203948  1.0588861  1.3563322  1.6418069  1.9272816  2.1696814  2.4026844
## 5: -0.7204845 -0.7784862 -0.8364880 -0.8944897 -0.9524914 -1.0104932 -1.0614121
## 6: -0.8768327 -0.9132400 -0.9496473 -0.9882707 -1.0268941 -1.0294268 -1.0319594
##         YT260      YT261      YT262      YT263      YT264      YT265      YT266
## 1:  0.3423699  0.3189780  0.2955861  0.2721942  0.2488023  0.2254104  0.2020185
## 2: -1.2743330 -1.2743330 -1.2743330 -1.2799097 -1.2922590 -1.3299654 -1.3676719
## 3: -1.2276606 -1.2629163 -1.2993346 -1.3344484 -1.3584199 -1.3781640 -1.3963731
## 4:  2.6310642  2.8232473  3.0039288  3.1684477  3.2663246  3.3010551  3.2889333
## 5: -1.0890525 -1.0890525 -1.0890525 -1.0890525 -1.0890525 -1.0890525 -1.0890525
## 6: -0.9547126 -0.8774657 -0.8002189 -0.7229720 -0.5887397 -0.4545074 -0.3000137
##         YT267        YT268      YT269      YT270       YT271       YT272
## 1:  0.1786266  0.155234720  0.1318428  0.1084509  0.08505903  0.08459119
## 2: -1.4053783 -1.434377100 -1.4560657 -1.4183592 -1.38065280 -1.34294630
## 3: -1.4145822 -1.432791300 -1.4510005 -1.4692097 -1.48741880 -1.49146610
## 4:  3.2277602  2.998102600  2.7126281  2.4271536  2.09274050  1.75017100
## 5: -1.0890525 -1.089052500 -1.0890525 -1.0890525 -1.08905250 -1.08905250
## 6: -0.1455199  0.008973854  0.1634676  0.3179614  0.47245513  0.62694889
##          YT273       YT274       YT275       YT276       YT277       YT278
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.30851870 -1.27575740 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.49248970 -1.49248970 -1.49248970 -1.50622880 -1.52429800 -1.54247190
## 4:  1.40760140  1.06503180  0.72246216  0.38214773  0.07220378 -0.22251734
## 5: -1.08905250 -1.08905250 -1.09931400 -1.13237030 -1.19037200 -1.24837370
## 6:  0.78144266  0.89034808  0.99925351  1.07650040  1.15374720  1.22941110
##          YT279       YT280       YT281       YT282       YT283       YT284
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.55906760 -1.56486520 -1.56486520 -1.56486520 -1.55858440 -1.53582270
## 4: -0.49727965 -0.72158118 -0.86570920 -0.97531339 -1.07319040 -1.08942800
## 5: -1.30637550 -1.36437720 -1.42237900 -1.48038070 -1.53763380 -1.54791260
## 6:  1.30507500  1.28576360  1.26645220  1.24714070  1.22782920  1.19142190
##          YT285       YT286       YT287       YT288       YT289       YT290
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.07102388
## 2: -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.49940450 -1.46298620 -1.43499460 -1.42011410 -1.42011410 -1.42011410
## 4: -1.08942800 -1.08942800 -1.03958740 -0.98455980 -0.92934423 -0.91303139
## 5: -1.55012960 -1.55012960 -1.56122610 -1.59785260 -1.65585430 -1.71385600
## 6:  1.15501470  1.09707930  1.03914390  0.98120848  0.92327308  0.86533788
##          YT291       YT292       YT293       YT294       YT295       YT296
## 1:  0.05792441  0.03453252  0.01114063 -0.01225128 -0.03564319 -0.03938589
## 2: -1.27433300 -1.27433300 -1.27478990 -1.27726240 -1.29658600 -1.33429240
## 3: -1.42498170 -1.43555730 -1.45376640 -1.47197560 -1.48508160 -1.49248970
## 4: -0.90649122 -0.90649122 -0.90649122 -0.90649122 -0.90649122 -0.90649122
## 5: -1.75849820 -1.78066810 -1.78066810 -1.78066810 -1.78820590 -1.83132790
## 6:  0.80740269  0.74946753  0.69153238  0.62789867  0.56426497  0.48701806
##          YT297       YT298        YT299       YT300       YT301       YT302
## 1: -0.04312859 -0.01973668  0.003655229  0.02704712  0.05043901  0.06728118
## 2: -1.37199880 -1.40958440 -1.445436400 -1.46842840 -1.46842840 -1.46842840
## 3: -1.49248970 -1.49248970 -1.492489700 -1.49248970 -1.49248970 -1.49248970
## 4: -0.90649122 -0.90946061 -0.917617030 -1.02301150 -1.13720140 -1.25026360
## 5: -1.88932970 -1.94733160 -2.004918800 -2.01005820 -2.01120700 -2.01120700
## 6:  0.40977115  0.33252425  0.255277360  0.21981977  0.18436219  0.16505048
##          YT303       YT304       YT305       YT306       YT307       YT308
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.46842840 -1.46959750 -1.47955490 -1.51726140 -1.55496780 -1.59267430
## 3: -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970
## 4: -1.31551490 -1.37606790 -1.43789880 -1.53169760 -1.63940370 -1.74784270
## 5: -2.02364520 -2.06480350 -2.12280520 -2.18080690 -2.22243160 -2.24174530
## 6:  0.14573878  0.12927635  0.11281392  0.11281392  0.11281392  0.11281392
##          YT309       YT310       YT311       YT312       YT313       YT314
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.62987010 -1.66252390 -1.66252390 -1.66252390 -1.66252390 -1.66252390
## 3: -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970
## 4: -1.83756330 -1.90157430 -1.93363630 -1.91732350 -1.66037750 -1.37490280
## 5: -2.24174530 -2.24174530 -2.22951440 -2.18521200 -2.12721040 -2.06920870
## 6:  0.11281392  0.12389440  0.13497489  0.15428659  0.17359829  0.19290999
##          YT315
## 1:  0.08412335
## 2: -1.66252390
## 3: -1.49248970
## 4: -1.08942800
## 5: -2.01120700
## 6:  0.21222169
head(z_train)
##    class        ZT1        ZT2        ZT3        ZT4        ZT5        ZT6
## 1:     6 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651
## 2:     5  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:     5  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487
## 4:     3  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5:     4 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:     8  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##           ZT7        ZT8        ZT9       ZT10       ZT11       ZT12       ZT13
## 1: -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651
## 2:  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT14       ZT15       ZT16       ZT17       ZT18       ZT19       ZT20
## 1: -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5182671
## 2:  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT21       ZT22       ZT23       ZT24       ZT25       ZT26       ZT27
## 1: -1.5075690 -1.4891241 -1.4706792 -1.4522342 -1.4337893 -1.4234602 -1.4131310
## 2:  1.7868688  1.7693956  1.7359054  1.7004993  1.6646589  1.6288185  1.6062107
## 3:  0.5306925  0.5474001  0.5706131  0.5938262  0.6073079  0.6135131  0.6135131
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT28       ZT29       ZT30       ZT31       ZT32       ZT33       ZT34
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.6032730  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788
## 3:  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3142671  0.3432722
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT35       ZT36       ZT37       ZT38       ZT39       ZT40       ZT41
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788
## 3:  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131  0.6136915  0.6193898
## 4:  0.3757525  0.4036771  0.4157625  0.4178789  0.4343195  0.4778271  0.5753349
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4155222
## 6:  0.6564008  0.6564008  0.6564008  0.6723916  0.6883824  0.7046398  0.7208972
##          ZT42       ZT43        ZT44        ZT45       ZT46       ZT47
## 1: -1.4131310 -1.4131310 -1.41313100 -1.41313100 -1.4131310 -1.4131310
## 2:  1.6023788  1.6023788  1.60237880  1.60237880  1.6023788  1.6023788
## 3:  0.6426028  0.6658159  0.68902890  0.71224192  0.7354549  0.7586679
## 4:  0.6733439  0.7666300  0.83430861  0.90198709  0.9599971  0.9599971
## 5: -0.3188776 -0.2014598 -0.08404193  0.03337552  0.1507935  0.2682118
## 6:  0.7304917  0.7400862  0.74008617  0.74008617  0.7400862  0.7400862
##          ZT48       ZT49       ZT50       ZT51       ZT52       ZT53       ZT54
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.5647417  1.5224724  1.4746851  1.4268980  1.3791108  1.3634599  1.3563923
## 3:  0.7812484  0.8027433  0.8182186  0.8336940  0.8511261  0.8739473  0.9109728
## 4:  0.9599971  0.9533808  0.9267929  0.8943905  0.8674126  0.8529101  0.8515735
## 5:  0.3791426  0.4653477  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761
## 6:  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862
##          ZT55       ZT56       ZT57       ZT58       ZT59       ZT60       ZT61
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923
## 3:  0.9496611  0.9873614  1.0195854  1.0447659  1.0679789  1.0911919  1.1144049
## 4:  0.8515735  0.8515735  0.8515735  0.8543135  0.8626229  0.8964623  0.9303016
## 5:  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761  0.4062453
## 6:  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862
##          ZT62       ZT63        ZT64        ZT65       ZT66       ZT67
## 1: -1.4131310 -1.4131310 -1.41313100 -1.41313100 -1.4131310 -1.4131310
## 2:  1.3563923  1.3563923  1.35639230  1.35639230  1.3563923  1.3563923
## 3:  1.1376180  1.1608310  1.18404400  1.20281400  1.2195981  1.2350735
## 4:  0.9570454  0.9594625  0.95999715  0.95999715  0.9599971  0.9599971
## 5:  0.3053694  0.1879517  0.07053347 -0.04688441 -0.1643022 -0.2817201
## 6:  0.7400862  0.7400862  0.74008617  0.74008617  0.7400862  0.7400862
##          ZT68       ZT69       ZT70       ZT71       ZT72       ZT73       ZT74
## 1: -1.4131310 -1.4131310 -1.4004040 -1.3876770 -1.3600096 -1.3323423 -1.3046749
## 2:  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923  1.3473875  1.3197727
## 3:  1.2505488  1.2660242  1.2814995  1.2969748  1.3124502  1.3145810  1.3096098
## 4:  0.9599971  0.9599971  0.9599971  0.9652546  0.9772621  1.0111013  1.0433700
## 5: -0.3916190 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.7488811  0.7576761  0.7739335  0.7901908  0.8064481  0.8227055  0.8546871
##          ZT75       ZT76       ZT77       ZT78       ZT79       ZT80       ZT81
## 1: -1.2770075 -1.2552425 -1.2334775 -1.2242550 -1.2150326 -1.2058101 -1.1965876
## 2:  1.2870616  1.2512212  1.2153808  1.1776799  1.1328304  1.0865121  1.0387249
## 3:  1.3018721  1.2941344  1.2863967  1.2786591  1.2709214  1.2633488  1.2593639
## 4:  1.0684208  1.0684208  1.0684208  1.0594653  1.0304602  0.9972893  0.9724724
## 5: -0.4660215 -0.4660215 -0.5358370 -0.6399189 -0.7573367 -0.8447663 -0.8061224
## 6:  0.8866688  0.9191835  0.9516982  0.9906092  1.0295202  1.0782923  1.1270643
##          ZT82       ZT83       ZT84        ZT85       ZT86       ZT87
## 1: -1.1890252 -1.1814628 -1.1814628 -1.18146280 -1.1814628 -1.1814628
## 2:  0.9909376  0.9431504  0.8953633  0.84757613  0.7997889  0.7520017
## 3:  1.2593639  1.2593639  1.2593639  1.25936390  1.2593639  1.2593639
## 4:  0.9603870  0.9599971  0.9524452  0.93651695  0.9026776  0.8688383
## 5: -0.5789804 -0.3441447 -0.1218929  0.06310221  0.1805196  0.2979378
## 6:  1.1758363  1.2246084  1.2600547  1.29550110  1.3280158  1.3605304
##          ZT88       ZT89       ZT90       ZT91       ZT92       ZT93       ZT94
## 1: -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628
## 2:  0.7042145  0.6647636  0.6264623  0.5906219  0.5547815  0.5189411  0.4831007
## 3:  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639
## 4:  0.8349991  0.8011599  0.7673207  0.7528182  0.7866574  0.8204966  0.8439212
## 5:  0.4153553  0.4663967  0.4673761  0.4673761  0.4673761  0.3890389  0.2815883
## 6:  1.3890474  1.4175644  1.4338218  1.4500791  1.4663365  1.4825938  1.4606064
##          ZT95        ZT96         ZT97          ZT98          ZT99       ZT100
## 1: -1.1814628 -1.14826190 -1.115061100 -1.0781712000 -1.0412814000 -1.00439160
## 2:  0.4472603  0.41141994  0.375579540  0.3397391300  0.3098891700  0.28235533
## 3:  1.2593639  1.25936390  1.259363900  1.2593639000  1.2593639000  1.25936390
## 4:  0.8511725  0.85157349  0.851573490  0.8515734900  0.8515734900  0.84427768
## 5:  0.1641706  0.05825815  0.003265187  0.0006772828  0.0006772828 -0.01680864
## 6:  1.4386190  1.39797570  1.357332300  1.3142903000  1.2712483000  1.20621890
##          ZT101      ZT102      ZT103      ZT104      ZT105      ZT106
## 1: -0.96750171 -0.9165937 -0.8656858 -0.8103510 -0.7550162 -0.6996815
## 2:  0.25846173  0.2345681  0.2106745  0.1818932  0.1499698  0.1145126
## 3:  1.25936390  1.2593639  1.2593639  1.2601551  1.2650524  1.2721947
## 4:  0.82878384  0.7949446  0.7611054  0.7272662  0.6934268  0.6595876
## 5: -0.07363785 -0.1910556 -0.3084735 -0.4187921 -0.4660215 -0.4660215
## 6:  1.14118960  1.0761602  1.0111308  0.9418372  0.8725436  0.7993855
##          ZT107       ZT108        ZT109       ZT110       ZT111      ZT112
## 1: -0.64434669 -0.58329400 -0.522241310 -0.45768408 -0.39312686 -0.3285696
## 2:  0.07867217  0.04283177  0.006991367 -0.02884903 -0.06468944 -0.1005298
## 3:  1.27993240  1.28712430  1.283500300  1.27709200  1.26935430  1.2616166
## 4:  0.62574836  0.59190916  0.558069960  0.51275788  0.45448034  0.3868019
## 5: -0.46602153 -0.46602153 -0.466021530 -0.46602153 -0.46602153 -0.4660215
## 6:  0.72622746  0.65306941  0.579911360  0.52994001  0.47996866  0.4311966
##         ZT113      ZT114      ZT115      ZT116       ZT117       ZT118
## 1: -0.2640124 -0.1950284 -0.1260444 -0.0522647  0.02151498  0.09529466
## 2: -0.1363702 -0.1722106 -0.2080510 -0.2438914 -0.27973184 -0.31557224
## 3:  1.2599199  1.2593639  1.2593639  1.2593639  1.25936390  1.25936390
## 4:  0.3289478  0.2804500  0.2466108  0.2061330  0.15683331  0.08915491
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4882461 -0.55222708 -0.66964488
## 6:  0.3824246  0.3397824  0.2971401  0.2646254  0.23211073  0.19959604
##          ZT119       ZT120       ZT121       ZT122       ZT123       ZT124
## 1:  0.16907434  0.24598967  0.32290499  0.40590716  0.48890933  0.57191149
## 2: -0.35141264 -0.38725304 -0.42309345 -0.45893385 -0.49477425 -0.52966947
## 3:  1.25931770  1.25873000  1.24761050  1.23213510  1.21665980  1.20326390
## 4:  0.02339232 -0.03100884 -0.06484805 -0.09868741 -0.13252672 -0.16636592
## 5: -0.78706276 -0.90448064 -1.02189850 -1.13931630 -1.25673420 -1.37415210
## 6:  0.16708135  0.14109627  0.11511118  0.09072516  0.06633915  0.04568429
##          ZT125       ZT126        ZT127         ZT128        ZT129       ZT130
## 1:  0.65491365  0.73422678  0.813539910  0.8780971600  0.942654400  1.00721160
## 2: -0.55826345 -0.58486488 -0.608758480 -0.6326520700 -0.656622300 -0.68756648
## 3:  1.19785430  1.19785430  1.197854300  1.1962696000  1.191585800  1.18384810
## 4: -0.20020512 -0.23404432 -0.267883530 -0.3017227700 -0.325938200 -0.34108677
## 5: -1.49156990 -1.60898770 -1.726405600 -1.8157528000 -1.766704800 -1.65357680
## 6:  0.02502944  0.01690077  0.008772095  0.0006434229 -0.007485249 -0.02094421
##          ZT131       ZT132       ZT133       ZT134      ZT135      ZT136
## 1:  1.07176870  1.13300590  1.19424300  1.20346550  1.2126880  1.2219105
## 2: -0.72000081 -0.75584121 -0.79168162 -0.82752202 -0.8572528 -0.8852975
## 3:  1.17611050  1.16642120  1.15417070  1.13869530  1.1232200  1.1034633
## 4: -0.34108677 -0.34666724 -0.36249527 -0.39633449 -0.4301737 -0.4785155
## 5: -1.53615890 -1.44554110 -1.39941920 -1.39941920 -1.3994192 -1.3762212
## 6: -0.03440317 -0.05066051 -0.06691786 -0.08450775 -0.1020976 -0.1346123
##         ZT137      ZT138      ZT139      ZT140      ZT141      ZT142      ZT143
## 1:  1.2311329  1.2403554  1.2495779  1.2248617  1.2001455  1.1724781  1.1448107
## 2: -0.9091911 -0.9330847 -0.9569783 -0.9757330 -0.9926229 -1.0045697 -1.0165165
## 3:  1.0789488  1.0479981  1.0170474  0.9796413  0.9345775  0.8804138  0.8262501
## 4: -0.5461939 -0.6138724 -0.6673379 -0.7077935 -0.7416328 -0.7754720 -0.8093112
## 5: -1.2983507 -1.1809328 -1.0637714 -0.9493261 -0.9327203 -0.9327203 -0.9327203
## 6: -0.1671270 -0.1996417 -0.2321564 -0.2770640 -0.3219716 -0.3788723 -0.4357730
##         ZT144      ZT145      ZT146      ZT147      ZT148      ZT149      ZT150
## 1:  1.1171433  1.0894759  1.0546150  1.0197542  0.9828643  0.9459745  0.9090846
## 2: -1.0284633 -1.0404101 -1.0523569 -1.0643037 -1.0762505 -1.0881973 -1.1001441
## 3:  0.7740714  0.7249748  0.6785488  0.6321227  0.5856967  0.5392706  0.4928446
## 4: -0.8431505 -0.8679674 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051
## 5: -0.9477757 -1.0414127 -1.1571519 -1.2745698 -1.3295630 -1.2894328 -1.1720150
## 6: -0.4926737 -0.5495744 -0.5912839 -0.6329933 -0.6736366 -0.7142800 -0.7549234
##         ZT151      ZT152      ZT153      ZT154      ZT155      ZT156      ZT157
## 1:  0.8721947  0.8530120  0.8338293  0.8246069  0.8153844  0.8061619  0.7969394
## 2: -1.1120909 -1.1240377 -1.1359845 -1.1479313 -1.1573704 -1.1632458 -1.1649702
## 3:  0.4464186  0.3999925  0.3535665  0.3071405  0.2607144  0.2151224  0.1833882
## 4: -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051
## 5: -1.0545971 -0.9681817 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -0.7955667 -0.8362101 -0.8768535 -0.9174968 -0.9581402 -0.9923872 -1.0266343
##         ZT158      ZT159       ZT160       ZT161       ZT162        ZT163
## 1:  0.7969394  0.7969394  0.80616193  0.81538443  0.82460685  0.833829270
## 2: -1.1649702 -1.1649702 -1.16324580 -1.15737040 -1.14793130 -1.135984500
## 3:  0.1521911  0.1212405  0.09028976  0.05933907  0.02838839 -0.002798395
## 4: -0.8954465 -0.9170443 -0.95088352 -0.98472276 -1.01856200 -1.052401200
## 5: -0.9327203 -0.9327203 -0.93272034 -0.93272034 -0.93272034 -0.932720340
## 6: -1.0591490 -1.0916637 -1.12417830 -1.15669300 -1.18920770 -1.221722400
##          ZT164       ZT165      ZT166      ZT167      ZT168      ZT169
## 1:  0.84305176  0.85227426  0.8614967  0.8707191  0.8799416  0.8891641
## 2: -1.12403770 -1.11307860 -1.1068115 -1.1034735 -1.1034735 -1.1034735
## 3: -0.03492443 -0.07249519 -0.1111836 -0.1495297 -0.1843003 -0.2107938
## 4: -1.08171820 -1.08002510 -1.0461859 -1.0123466 -0.9957500 -0.9916287
## 5: -0.93272034 -0.93272034 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -1.25423710 -1.28675180 -1.3244635 -1.3621752 -1.4028186 -1.4434620
##         ZT170      ZT171      ZT172      ZT173      ZT174      ZT175      ZT176
## 1:  0.8963576  0.9035511  0.9035511  0.9035511  0.9035511  0.9035511  0.9042889
## 2: -1.1031755 -1.0976917 -1.0899599 -1.0780131 -1.0660663 -1.0541195 -1.0421727
## 3: -0.2340068 -0.2572199 -0.2831035 -0.3120692 -0.3430199 -0.3739706 -0.4018879
## 4: -0.9916287 -0.9916287 -0.9916287 -0.9916287 -1.0033243 -1.0247774 -1.0586166
## 5: -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9161146
## 6: -1.4846384 -1.5258147 -1.5745868 -1.6233588 -1.6721309 -1.7209029 -1.7536841
##         ZT177      ZT178      ZT179      ZT180      ZT181      ZT182      ZT183
## 1:  0.9050267  0.9142492  0.9234717  0.9326941  0.9419165  0.9511390  0.9603615
## 2: -1.0302259 -1.0182791 -1.0063323 -0.9943855 -0.9865899 -0.9804802 -0.9804802
## 3: -0.4272528 -0.4504658 -0.4736788 -0.4968918 -0.5201048 -0.5433178 -0.5665309
## 4: -1.0858395 -1.1000524 -1.1000524 -1.1000524 -1.0420423 -0.9405246 -0.8390069
## 5: -0.8016693 -0.6845079 -0.5670900 -0.4496722 -0.3322544 -0.2148365 -0.0974186
## 6: -1.7864653 -1.8027227 -1.8189800 -1.8352373 -1.8514947 -1.8528273 -1.8541598
##          ZT184         ZT185         ZT186        ZT187       ZT188      ZT189
## 1:  0.96091485  0.9614681800  0.9614681800  0.961468180  0.96146818  0.9614682
## 2: -0.98048023 -0.9804802300 -0.9770741600 -0.972177930 -0.96030776 -0.9483610
## 3: -0.58651896 -0.6039459400 -0.6194212800 -0.634896630 -0.65037197 -0.6658473
## 4: -0.80953401 -0.8210513800 -0.8548906000 -0.919026970 -1.00129710 -1.1028148
## 5: -0.02612276  0.0006772828  0.0006772828 -0.001467653 -0.03565257 -0.1390351
## 6: -1.85415980 -1.8541598000 -1.8485630000 -1.842966200 -1.82670890 -1.8104516
##         ZT190      ZT191      ZT192      ZT193      ZT194      ZT195      ZT196
## 1:  0.9614682  0.9614682  0.9614682  0.9614682  0.9614682  0.9614682  0.9553814
## 2: -0.9364142 -0.9244674 -0.9125206 -0.9005738 -0.8886270 -0.8766802 -0.8647334
## 3: -0.6813227 -0.6967980 -0.7122734 -0.7277487 -0.7432240 -0.7586994 -0.7785305
## 4: -1.2043325 -1.3058502 -1.4073679 -1.5088856 -1.6104032 -1.7119209 -1.8134386
## 5: -0.2564530 -0.3711314 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.5094915
## 6: -1.7941942 -1.7779369 -1.7554164 -1.7328960 -1.7085100 -1.6841240 -1.6629361
##         ZT197      ZT198      ZT199      ZT200      ZT201      ZT202      ZT203
## 1:  0.9492946  0.9400721  0.9308496  0.9216271  0.9124046  0.9031822  0.8939598
## 2: -0.8527866 -0.8408398 -0.8288930 -0.8169462 -0.8064512 -0.7988131 -0.7959903
## 3: -0.8088935 -0.8397980 -0.8707487 -0.9016994 -0.9326501 -0.9636008 -0.9945515
## 4: -1.8532705 -1.8590180 -1.8590180 -1.8590180 -1.8590180 -1.8590180 -1.8443595
## 5: -0.6116791 -0.7290970 -0.8465148 -0.9104957 -0.9327203 -0.9327203 -0.9327203
## 6: -1.6417483 -1.6336196 -1.6254909 -1.6173623 -1.6092336 -1.6061687 -1.6031038
##         ZT204      ZT205      ZT206      ZT207      ZT208      ZT209      ZT210
## 1:  0.8847373  0.8755148  0.8662924  0.8570699  0.8478474  0.8386250  0.8294025
## 2: -0.7959903 -0.7959903 -0.7942021 -0.7859765 -0.7697465 -0.7458529 -0.7219593
## 3: -1.0255022 -1.0564528 -1.0874035 -1.1183542 -1.1493049 -1.1802556 -1.2112063
## 4: -1.8203446 -1.7865054 -1.7526661 -1.7188269 -1.6849877 -1.6511484 -1.6173092
## 5: -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -1.6031038 -1.6031038 -1.6015047 -1.5999056 -1.5673909 -1.5348762 -1.5023615
##         ZT211      ZT212      ZT213      ZT214      ZT215      ZT216      ZT217
## 1:  0.8201801  0.8109576  0.8017351  0.7925127  0.7832903  0.7740678  0.7648453
## 2: -0.6988321 -0.6827724 -0.6729970 -0.6729970 -0.6729970 -0.6729970 -0.6766372
## 3: -1.2421570 -1.2731077 -1.3040583 -1.3350090 -1.3652634 -1.3889662 -1.4067049
## 4: -1.5834700 -1.5496308 -1.4730191 -1.3783628 -1.2768451 -1.2120181 -1.1635873
## 5: -0.9327203 -0.8854909 -0.7751723 -0.6577544 -0.5403367 -0.4835075 -0.4660215
## 6: -1.4698468 -1.4566544 -1.4434620 -1.4515906 -1.4597193 -1.4678480 -1.4759767
##         ZT218      ZT219      ZT220      ZT221      ZT222      ZT223      ZT224
## 1:  0.7556229  0.7464004  0.7381002  0.7298000  0.7298000  0.7298000  0.7298000
## 2: -0.6825936 -0.6945404 -0.7064872 -0.7184340 -0.7273537 -0.7344936 -0.7344936
## 3: -1.4221803 -1.4376557 -1.4444699 -1.4470584 -1.4470584 -1.4470584 -1.4380363
## 4: -1.1297480 -1.1096762 -1.1000524 -1.1000524 -1.1000524 -1.1000524 -1.1000524
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4560546 -0.4169736
## 6: -1.4841053 -1.4922340 -1.5003627 -1.5084913 -1.5086246 -1.5087579 -1.4925005
##         ZT225      ZT226       ZT227         ZT228         ZT229         ZT230
## 1:  0.7298000  0.7298000  0.72979996  0.7297999600  0.7297999600  0.7297999600
## 2: -0.7344936 -0.7344936 -0.73203277 -0.7284223300 -0.7164755300 -0.7045287300
## 3: -1.4251186 -1.4096433 -1.39416800 -1.3741790000 -1.3520515000 -1.3288385000
## 4: -1.1000524 -1.1000524 -1.10005240 -1.1000524000 -1.0782429000 -1.0489482000
## 5: -0.2995557 -0.1821378 -0.06569919  0.0006772828  0.0006772828  0.0006772828
## 6: -1.4762432 -1.4599858 -1.44372850 -1.3968220000 -1.3499156000 -1.2930149000
##            ZT231         ZT232         ZT233         ZT234         ZT235
## 1:  0.7297999600  0.7297999600  0.7297999600  0.7222375200  0.7146750700
## 2: -0.6925819300 -0.6806351300 -0.6686883300 -0.6567415300 -0.6447947200
## 3: -1.3056255000 -1.2867507000 -1.2705611000 -1.2550857000 -1.2396104000
## 4: -1.0151090000 -0.9812697900 -0.9474305500 -0.9135913100 -0.8797520900
## 5:  0.0006772828  0.0006772828  0.0006772828  0.0006772828  0.0006772828
## 6: -1.2361142000 -1.1777476000 -1.1193811000 -1.0543517000 -0.9893223300
##            ZT236         ZT237         ZT238      ZT239       ZT240      ZT241
## 1:  0.7054526500  0.6962302200  0.6870077300  0.6777852  0.67483407  0.6718829
## 2: -0.6328479200 -0.6209011200 -0.6089543200 -0.5970075 -0.58506072 -0.5731139
## 3: -1.2241350000 -1.2086597000 -1.1931844000 -1.1777090 -1.16223370 -1.1467583
## 4: -0.8459128600 -0.8127419400 -0.7837368900 -0.7747814 -0.77478141 -0.7747814
## 5:  0.0006772828  0.0006772828  0.0006772828  0.0140131  0.06161534  0.1790336
## 6: -0.9242929400 -0.8592635600 -0.7745121500 -0.6897607 -0.59221666 -0.4946726
##         ZT242      ZT243      ZT244      ZT245       ZT246       ZT247
## 1:  0.6718829  0.6718829  0.6718829  0.6718829  0.66690277  0.66192262
## 2: -0.5622102 -0.5530053 -0.5500037 -0.5500037 -0.55000372 -0.54933953
## 3: -1.1312830 -1.1167298 -1.1045439 -1.0968063 -1.08906860 -1.08133090
## 4: -0.7497306 -0.7174619 -0.6836227 -0.6497834 -0.61594419 -0.58210497
## 5:  0.2964510  0.4216094  0.5951980  0.8300335  1.06486910  1.29970470
## 6: -0.3973950 -0.3001175 -0.2107021 -0.1212866 -0.03187126  0.05754413
##         ZT248      ZT249      ZT250      ZT251      ZT252      ZT253      ZT254
## 1:  0.6527002  0.6434778  0.6342553  0.6250328  0.6158104  0.6065879  0.5973654
## 2: -0.5467935 -0.5390362 -0.5270894 -0.5151426 -0.5035278 -0.4939312 -0.4885071
## 3: -1.0735933 -1.0658556 -1.0581179 -1.0529978 -1.0518494 -1.0595871 -1.0673248
## 4: -0.5482657 -0.5144265 -0.4794734 -0.4359658 -0.3763072 -0.3075594 -0.2350468
## 5:  1.3857356  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.1394971  0.2214502  0.2946082  0.3677663  0.4409243  0.5140824  0.5584569
##         ZT255       ZT256      ZT257      ZT258      ZT259      ZT260
## 1:  0.5881430  0.57892054  0.5696981  0.5604756  0.5512531  0.5420306
## 2: -0.4885071 -0.48850707 -0.4884602 -0.4863059 -0.4810648 -0.4691180
## 3: -1.0762977 -1.08775720 -1.1030748 -1.1185501 -1.1330417 -1.1440116
## 4: -0.1138804  0.02147651  0.1568333  0.3432498  0.5408050  0.7438404
## 5:  1.4007737  1.40077370  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.6028315  0.64347488  0.6841182  0.7196979  0.7552775  0.7796635
##         ZT261      ZT262      ZT263      ZT264      ZT265      ZT266      ZT267
## 1:  0.5328081  0.5235857  0.5143633  0.5051408  0.4959183  0.4866959  0.4774735
## 2: -0.4571712 -0.4452244 -0.4350445 -0.4270104 -0.4270104 -0.4270104 -0.4270104
## 3: -1.1522433 -1.1599809 -1.1682729 -1.1812996 -1.1961227 -1.2115981 -1.2270734
## 4:  0.9683288  1.1996341  1.4365087  1.6733833  1.9102580  2.1399483  2.3405664
## 5:  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.8040495  0.8284355  0.8528215  0.8532213  0.8536210  0.8454924  0.8373637
##         ZT268      ZT269      ZT270      ZT271      ZT272      ZT273      ZT274
## 1:  0.4682510  0.4590285  0.4498061  0.4405836  0.4494372  0.4582908  0.4675132
## 2: -0.4256310 -0.4230934 -0.4111467 -0.3991998 -0.3872530 -0.3753062 -0.3633594
## 3: -1.2064313 -1.1792761 -1.1483255 -1.1173748 -1.1104955 -1.1087556 -1.1087556
## 4:  2.4413268  2.5090053  2.5766837  2.5573470  2.5235078  2.4896686  2.3790060
## 5:  1.4007737  1.4007737  1.4007737  1.4203579  1.4854929  1.6029111  1.7203286
## 6:  0.8225722  0.8077807  0.7590087  0.7102367  0.6614646  0.6126926  0.5735150
##         ZT275      ZT276      ZT277      ZT278      ZT279      ZT280      ZT281
## 1:  0.4767356  0.4859581  0.4951806  0.4966562  0.4981317  0.4981317  0.4981317
## 2: -0.3514126 -0.3394658 -0.3275190 -0.3163173 -0.3057415 -0.3040171 -0.3040171
## 3: -1.1087556 -1.1087556 -1.1087556 -1.1087706 -1.1094562 -1.1147302 -1.1224679
## 4:  2.2541750  2.1201547  2.0041346  1.8971367  1.7956190  1.6941014  1.5925836
## 5:  1.8169731  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.5343375  0.5018228  0.4693081  0.4373264  0.4053447  0.4053447  0.4053447
##         ZT282      ZT283      ZT284      ZT285      ZT286      ZT287      ZT288
## 1:  0.4981317  0.4981317  0.5045875  0.5110432  0.5202657  0.5294882  0.5387106
## 2: -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171
## 3: -1.1302056 -1.1339399 -1.1271693 -1.1116939 -1.0962186 -1.0789529 -1.0589015
## 4:  1.4910659  1.3895483  1.2880305  1.1865128  1.0849952  0.9539377  0.8198060
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.4053447  0.4053447  0.4197365  0.4341282  0.4666429  0.4991576  0.5316723
##         ZT289      ZT290      ZT291      ZT292       ZT293       ZT294
## 1:  0.5479330  0.5519909  0.5560488  0.5560488  0.55604880  0.55604880
## 2: -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.30416190 -0.30494530
## 3: -1.0356885 -1.0124754 -0.9933992 -0.9791741 -0.97143640 -0.96369872
## 4:  0.6833354  0.5238075  0.3584876  0.1944375  0.05908047 -0.05241742
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.86747250  1.86747250
## 6:  0.5641870  0.6037643  0.6433416  0.6839850  0.72462834  0.75567723
##         ZT295      ZT296      ZT297      ZT298      ZT299      ZT300      ZT301
## 1:  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488
## 2: -0.3110677 -0.3230145 -0.3349613 -0.3469081 -0.3588549 -0.3708017 -0.3827485
## 3: -0.9537926 -0.9414652 -0.9259898 -0.9105145 -0.8971298 -0.8865179 -0.8787802
## 4: -0.1489449 -0.2311260 -0.2740989 -0.3070582 -0.3384803 -0.3410868 -0.3410868
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.7867261  0.7948548  0.8029835  0.8111121  0.8192408  0.8097796  0.8003183
##         ZT302      ZT303      ZT304      ZT305      ZT306      ZT307
## 1:  0.5534665  0.5508842  0.5416618  0.5324393  0.5232168  0.5139944
## 2: -0.3946953 -0.4066421 -0.4182185 -0.4270104 -0.4270104 -0.4270104
## 3: -0.8710425 -0.8651397 -0.8627891 -0.8627172 -0.8627172 -0.8627172
## 4: -0.3404184 -0.3114134 -0.2796237 -0.2429775 -0.1873845 -0.1235489
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8343190
## 6:  0.7840609  0.7678036  0.7491476  0.7304917  0.6979770  0.6654623
##          ZT308       ZT309       ZT310      ZT311      ZT312      ZT313
## 1:  0.50348075  0.49296714  0.47452222  0.4560773  0.4376324  0.4191875
## 2: -0.42701043 -0.42717222 -0.42877307 -0.4407199 -0.4526667 -0.4646135
## 3: -0.86271720 -0.86271720 -0.86271720 -0.8627172 -0.8627172 -0.8627172
## 4: -0.05587047  0.01180812  0.07948656  0.1570561  0.2537396  0.4455027
## 5:  1.75599960  1.63858220  1.52116390  1.4532661  1.5152189  1.6326367
## 6:  0.63294758  0.60043289  0.55859021  0.5167475  0.4679755  0.4192035
##         ZT314      ZT315
## 1:  0.4007426  0.3822976
## 2: -0.4765603 -0.4885071
## 3: -0.8627172 -0.8627172
## 4:  0.6485381  0.8515735
## 5:  1.7500543  1.8674725
## 6:  0.3704314  0.3216594
head(data_wide)
##    class          XT1          XT2          XT3          XT4          XT5
## 1:     6 -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:     5  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:     5  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:     3  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:     4  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6:     8 -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##             XT6          XT7          XT8          XT9         XT10
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT11         XT12         XT13         XT14         XT15
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.304243210
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT16         XT17         XT18         XT19         XT20
## 1: -0.304243210 -0.304243210 -0.304243210 -0.304243210 -0.240807820
## 2:  1.627311100  1.627311100  1.627311100  1.627311100  1.627311100
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT21         XT22         XT23         XT24         XT25
## 1: -0.177372430 -0.068001105  0.041370216  0.150741540  0.260112860
## 2:  1.627311100  1.609648100  1.575794100  1.540003300  1.503773500
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT26         XT27         XT28         XT29         XT30
## 1:  0.321360810  0.382608760  0.382608760  0.382608760  0.382608760
## 2:  1.467543700  1.444690200  1.441720600  1.440816800  1.440816800
## 3:  0.661276530  0.661276530  0.661276530  0.661276530  0.661276530
## 4:  0.005184784  0.005184784  0.005184784  0.005184784  0.005184784
## 5:  1.286197800  1.286197800  1.286197800  1.286197800  1.286197800
## 6: -0.479252460 -0.479252460 -0.479252460 -0.479252460 -0.479252460
##            XT31         XT32         XT33        XT34        XT35       XT36
## 1:  0.382608760  0.382608760  0.382608760  0.38260876  0.38260876  0.3826088
## 2:  1.440816800  1.440816800  1.440816800  1.44081680  1.44081680  1.4408168
## 3:  0.661276530  0.661276530  0.661276530  0.66127653  0.66127653  0.6612765
## 4:  0.005184784  0.005184784  0.009412931  0.03489926  0.06343925  0.0879762
## 5:  1.286197800  1.286197800  1.286197800  1.28619780  1.28619780  1.2861978
## 6: -0.479252460 -0.479252460 -0.479252460 -0.47925246 -0.47925246 -0.4792525
##          XT37       XT38        XT39        XT40        XT41        XT42
## 1:  0.3826088  0.3826088  0.38260876  0.38260876  0.38260876  0.38260876
## 2:  1.4408168  1.4408168  1.44081680  1.44081680  1.44081680  1.44081680
## 3:  0.6612765  0.6612765  0.66127653  0.66127653  0.66127653  0.66127653
## 4:  0.0985955  0.1004551  0.09563971  0.08289655  0.05433698  0.02151991
## 5:  1.2861978  1.2861978  1.28619780  1.28619780  1.28619780  1.28619780
## 6: -0.4792525 -0.4883355 -0.49741855 -0.50665299 -0.51588742 -0.52133725
##          XT43       XT44       XT45       XT46       XT47       XT48       XT49
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6612765  0.6587422  0.6487222  0.6036406  0.5585591  0.5134775  0.4683960
## 4: -0.0154470 -0.0749151 -0.1343832 -0.1896036 -0.2193376 -0.2490717 -0.2671783
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871
##          XT50       XT51       XT52       XT53       XT54       XT55       XT56
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.4233146  0.3782332  0.3445523  0.3422697  0.4227441  0.5129071  0.5973137
## 4: -0.2501874 -0.2229785 -0.1992735 -0.1865303 -0.1853558 -0.1902495 -0.2011331
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978  1.2861978
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871
##          XT57       XT58       XT59       XT60       XT61       XT62       XT63
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6498137  0.6612765  0.6612765  0.6612765  0.6612765  0.6612765  0.6612765
## 4: -0.2308671 -0.2581935 -0.2806262 -0.2806262 -0.2806262 -0.2868607 -0.3144709
## 5:  1.2861978  1.2861978  1.2861978  1.2861978  1.2779025  1.2642139  1.2482806
## 6: -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5267871 -0.5246677 -0.5225483
##          XT64       XT65       XT66       XT67       XT68       XT69       XT70
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.4077641
## 2:  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168  1.4408168
## 3:  0.6612765  0.6871626  0.7246188  0.7697002  0.8147817  0.9127019  1.0339118
## 4: -0.3437351 -0.3734692 -0.4032033 -0.4329373 -0.4561628 -0.4710299 -0.4711669
## 5:  1.2334768  1.2231907  1.2228680  1.2228680  1.2218477  1.2160107  1.2000774
## 6: -0.5040794 -0.4856105 -0.4671417 -0.4486728 -0.4102211 -0.3717695 -0.3163629
##          XT71       XT72       XT73        XT74        XT75        XT76
## 1:  0.4329195  0.4876051  0.5422907  0.59697629  0.65166190  0.68884810
## 2:  1.4408168  1.4408168  1.4317141  1.40379940  1.37073290  1.33450310
## 3:  1.1691562  1.3044006  1.4137290  1.50926460  1.59942760  1.68959050
## 4: -0.4711669 -0.4711669 -0.4711669 -0.47116689 -0.47116689 -0.47116689
## 5:  1.1841441  1.1682109  1.1605887  1.15953830  1.15953830  1.15953830
## 6: -0.2609563 -0.2055496 -0.1501430 -0.09473632 -0.03932967  0.01607697
##           XT77       XT78       XT79       XT80       XT81       XT82
## 1:  0.72603429  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343
## 2:  1.29827330  1.2620436  1.2258138  1.1895840  1.1533542  1.1171244
## 3:  1.77975350  1.8699163  1.9600792  2.0483183  2.0947528  2.0947528
## 4: -0.47116689 -0.4711669 -0.4711669 -0.4711669 -0.4711669 -0.4711669
## 5:  1.16901210  1.1831357  1.1990690  1.2122894  1.2141045  1.1988673
## 6:  0.07148362  0.1268903  0.1822969  0.2377036  0.2931103  0.3485169
##          XT83       XT84       XT85       XT86       XT87       XT88       XT89
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343
## 2:  1.0808946  1.0446647  1.0084348  0.9722049  0.9359751  0.8997452  0.8635154
## 3:  2.0947528  2.0905913  2.0707855  2.0257040  1.9806226  1.9355412  1.8904598
## 4: -0.4711669 -0.4778027 -0.4917987 -0.5215327 -0.5472734 -0.5664371 -0.5664371
## 5:  1.1829340  1.1652931  1.1425966  1.1107300  1.0788634  1.0469968  1.0241374
## 6:  0.4039236  0.4441918  0.4844600  0.5213978  0.5583356  0.5952734  0.6322111
##          XT90       XT91       XT92       XT93       XT94       XT95       XT96
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.6768172
## 2:  0.8272855  0.7910558  0.7548260  0.7185962  0.6607137  0.5974342  0.5249745
## 3:  1.8453783  1.8002969  1.7477646  1.6838840  1.5937210  1.5035580  1.4133951
## 4: -0.5664371 -0.5749325 -0.6046666 -0.6344006 -0.6641346 -0.6938687 -0.7236028
## 5:  1.0080712  0.9921378  0.9762045  0.9496411  0.9191270  0.8872605  0.8569552
## 6:  0.6691489  0.7060867  0.7430244  0.7799622  0.8169000  0.8538377  0.8907755
##          XT97       XT98       XT99      XT100      XT101      XT102      XT103
## 1:  0.6276002  0.5729146  0.5182290  0.4635434  0.4088578  0.3541721  0.2994864
## 2:  0.4525148  0.3800551  0.3257620  0.2784928  0.2422630  0.2060332  0.1698035
## 3:  1.3232321  1.2330691  1.1429061  1.0659304  1.0237022  1.0196454  1.0196454
## 4: -0.7533369 -0.7830709 -0.8128049 -0.8361282 -0.8522480 -0.8522480 -0.8522480
## 5:  0.8335594  0.8172750  0.8013417  0.7854085  0.7694752  0.7535419  0.7376087
## 6:  0.9277133  0.9655594  1.0034055  1.0495777  1.0957499  1.1419221  1.1880943
##         XT104       XT105       XT106       XT107       XT108       XT109
## 1:  0.2448007  0.19011500  0.13542925  0.08074350  0.02605784 -0.02862782
## 2:  0.1335736  0.09734376  0.06111389  0.02488402 -0.01134588 -0.04757575
## 3:  1.0196454  1.01964540  1.01964540  1.01964540  1.01964540  1.01964540
## 4: -0.8522480 -0.85224800 -0.85224800 -0.84206914 -0.81445897 -0.78489134
## 5:  0.7216754  0.70574211  0.68980884  0.67387557  0.65794229  0.64200899
## 6:  1.2342665  1.28043870  1.32661090  1.37278310  1.41895530  1.46512750
##          XT110      XT111      XT112      XT113      XT114      XT115
## 1: -0.08331339 -0.1379990 -0.1926846 -0.2473702 -0.2758067 -0.3042432
## 2: -0.08380559 -0.1200354 -0.1562652 -0.1924949 -0.2287248 -0.2649546
## 3:  1.01964540  1.0196454  1.0196454  1.0548414  1.0966834  1.1417650
## 4: -0.76523832 -0.7569778 -0.7569778 -0.7656102 -0.7824641 -0.8121981
## 5:  0.62607568  0.6101424  0.5942091  0.5782758  0.5623425  0.5464092
## 6:  1.48495880  1.5047902  1.5232591  1.5417279  1.5497513  1.5577747
##         XT116      XT117      XT118      XT119      XT120      XT121      XT122
## 1: -0.3042432 -0.3042432 -0.3042432 -0.3042432 -0.3414295 -0.3786157 -0.4879871
## 2: -0.3011845 -0.3374144 -0.3736443 -0.4098741 -0.4461040 -0.4823338 -0.5185636
## 3:  1.1868466  1.1972603  1.1988303  1.1986957  1.1969837  1.1645911  1.1195095
## 4: -0.8360988 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480
## 5:  0.5304760  0.5145427  0.4986093  0.4826760  0.4667427  0.4508094  0.4348762
## 6:  1.5485403  1.5393058  1.5300714  1.5208370  1.5116025  1.5023681  1.4931336
##         XT123      XT124      XT125      XT126      XT127      XT128      XT129
## 1: -0.5973584 -0.7067298 -0.8161011 -0.9145353 -1.0129694 -1.0676551 -1.1223407
## 2: -0.5547933 -0.5910231 -0.6272529 -0.6634827 -0.6997125 -0.7359423 -0.7721721
## 3:  1.0744280  1.0293465  0.9842650  0.9391836  0.8941022  0.8305555  0.7308959
## 4: -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8522480 -0.8607043
## 5:  0.4189429  0.4030096  0.3999527  0.3995809  0.3995809  0.3976764  0.3863819
## 6:  1.4838991  1.4746647  1.4654302  1.4561958  1.4469614  1.4377269  1.4284925
##         XT130      XT131      XT132      XT133      XT134       XT135
## 1: -1.1770263 -1.2317119 -1.2929598 -1.3542077 -1.5182647 -1.68232160
## 2: -0.8084020 -0.8446318 -0.8808617 -0.9170916 -0.9533215 -0.98955132
## 3:  0.5956515  0.4604070  0.3365333  0.2275812  0.1374182  0.04725522
## 4: -0.8771275 -0.9068616 -0.9365957 -0.9663298 -0.9960638 -1.02579780
## 5:  0.3707397  0.3548064  0.3425099  0.3362512  0.3362512  0.33625122
## 6:  1.4132027  1.3979129  1.3794440  1.3609751  1.3432631  1.32555120
##          XT136      XT137      XT138      XT139      XT140      XT141
## 1: -1.84637860 -2.0104356 -2.1744925 -2.3385495 -2.4522956 -2.5660417
## 2: -1.02578110 -1.0620110 -1.0982408 -1.1344706 -1.1551161 -1.1701065
## 3: -0.04290776 -0.1330707 -0.2232337 -0.3133967 -0.3910227 -0.4537770
## 4: -1.06827500 -1.1277431 -1.1872112 -1.2341906 -1.2697384 -1.2994724
## 5:  0.33310331  0.3225365  0.3066032  0.2906698  0.2747365  0.2588033
## 6:  1.31631670  1.3070823  1.2978479  1.2886134  1.2746861  1.2607587
##         XT142      XT143      XT144      XT145      XT146      XT147      XT148
## 1: -2.6754130 -2.7847843 -2.8941556 -3.0035269 -2.9422789 -2.8810310 -2.7716597
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -0.4988584 -0.5439399 -0.5890213 -0.6341028 -0.6791843 -0.7242658 -0.7693472
## 4: -1.3183228 -1.3285996 -1.3285996 -1.3206718 -1.3043269 -1.2745929 -1.2448589
## 5:  0.2428700  0.2269367  0.2130464  0.2098194  0.2095916  0.2095916  0.2011208
## 6:  1.2422898  1.2238209  1.2053521  1.1868832  1.2029299  1.2189766  1.2374455
##         XT149      XT150      XT151       XT152       XT153       XT154
## 1: -2.6622885 -2.5529172 -2.4435459 -2.26417700 -2.08480810 -1.86606550
## 2: -1.1701065 -1.1701065 -1.1701065 -1.17010650 -1.17010650 -1.17010650
## 3: -0.8144287 -0.8595102 -0.9045917 -0.95618455 -1.03949970 -1.12828710
## 4: -1.2151248 -1.1853907 -1.1556566 -1.14004570 -1.13805890 -1.13805890
## 5:  0.1797419  0.1478753  0.1160087  0.09255608  0.08293204  0.08293204
## 6:  1.2559144  1.2643920  1.2728695  1.26363510  1.25440060  1.24516620
##          XT155       XT156       XT157       XT158       XT159       XT160
## 1: -1.64732290 -1.42858030 -1.20983780 -0.99109515 -0.77235254 -0.55360985
## 2: -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650
## 3: -1.21845010 -1.30618340 -1.35354740 -1.39934660 -1.44371030 -1.48650920
## 4: -1.13805890 -1.13805890 -1.13805890 -1.14881520 -1.16779300 -1.19752710
## 5:  0.08278967  0.08097449  0.06720045  0.05126718  0.03533391  0.01940062
## 6:  1.23593180  1.20489800  1.17386420  1.13692640  1.09998860  1.06501880
##           XT161       XT162       XT163       XT164       XT165       XT166
## 1: -0.334867160 -0.11612452  0.10261812  0.28198712  0.46135613  0.57072745
## 2: -1.170106500 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.17010650
## 3: -1.488938800 -1.48893880 -1.49031440 -1.49716220 -1.53573230 -1.58081390
## 4: -1.206120400 -1.18599760 -1.12652950 -1.06904820 -1.02519100 -0.99545699
## 5:  0.003467315 -0.01246599 -0.02839931 -0.04433261 -0.06026589 -0.07619918
## 6:  1.030049100  1.00234570  0.97464242  0.94693909  0.91923577  0.89153245
##          XT167      XT168      XT169      XT170      XT171      XT172
## 1:  0.68009877  0.7894701  0.8988414  1.0082127  1.1175841  1.2269552
## 2: -1.17010650 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.62390190 -1.6461573 -1.6201889 -1.5751074 -1.5300258 -1.5005039
## 4: -0.96572297 -0.9359889 -0.9062548 -0.8765207 -0.8333975 -0.7818572
## 5: -0.09213246 -0.1080657 -0.1239990 -0.1399323 -0.1560934 -0.1752537
## 6:  0.86382912  0.8361258  0.8084225  0.7807192  0.7530158  0.7253125
##         XT173      XT174      XT175      XT176      XT177      XT178      XT179
## 1:  1.3363264  1.4456976  1.5550688  1.6556903  1.7563118  1.7563118  1.7563118
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4712661 -1.4387215 -1.3936401 -1.3485586
## 4: -0.7223891 -0.6731977 -0.6325801 -0.6028461 -0.5731121 -0.5433781 -0.5136441
## 5: -0.2050773 -0.2369439 -0.2688104 -0.3006770 -0.3325436 -0.3644101 -0.3962767
## 6:  0.6976092  0.6699058  0.6422025  0.6099576  0.5777128  0.5407750  0.5038372
##         XT180      XT181      XT182      XT183      XT184      XT185      XT186
## 1:  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118  1.7563118
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065 -1.1701065
## 3: -1.3034771 -1.2583957 -1.2133142 -1.1682327 -1.1419404 -1.1305697 -1.1305697
## 4: -0.4839100 -0.5221395 -0.6113416 -0.7005438 -0.7739197 -0.8382913 -0.8977594
## 5: -0.4281433 -0.4600099 -0.4918765 -0.5237430 -0.5493510 -0.5689210 -0.5848542
## 6:  0.4668995  0.4299617  0.3845464  0.3391311  0.2929589  0.2467867  0.1974354
##         XT187       XT188       XT189       XT190       XT191      XT192
## 1:  1.7563118  1.75631180  1.75631180  1.66881480  1.58131790  1.4719467
## 2: -1.1701065 -1.17010650 -1.17010650 -1.17010650 -1.17010650 -1.1701065
## 3: -1.1305697 -1.14836210 -1.18421100 -1.22929240 -1.27437390 -1.3036964
## 4: -0.9172950 -0.91292983 -0.88319573 -0.84401683 -0.79520716 -0.7357390
## 5: -0.6010786 -0.62165065 -0.65161268 -0.68347926 -0.71460238 -0.7403551
## 6:  0.1480841  0.09267746  0.03727079 -0.01813588 -0.07354255 -0.1431793
##         XT193      XT194      XT195      XT196      XT197      XT198      XT199
## 1:  1.3625755  1.2532043  1.1438331  1.0344618  0.9250906  0.8157192  0.7063479
## 2: -1.1701065 -1.1701065 -1.1701065 -1.1638702 -1.1502098 -1.1196223 -1.0833925
## 3: -1.3097543 -1.3097543 -1.3097543 -1.3224432 -1.3658127 -1.4107596 -1.4542711
## 4: -0.6762710 -0.6168029 -0.5573349 -0.4978668 -0.4383987 -0.3789306 -0.3194625
## 5: -0.7403551 -0.7403551 -0.7403551 -0.7462538 -0.7601204 -0.7760537 -0.7919871
## 6: -0.2128161 -0.2866916 -0.3605672 -0.4344427 -0.5083182 -0.5821937 -0.6560692
##         XT200      XT201      XT202      XT203      XT204      XT205      XT206
## 1:  0.5969766  0.4876053  0.4351070  0.3826088  0.3826088  0.3826088  0.3826088
## 2: -1.0471627 -1.0153357 -0.9921724 -0.9836120 -0.9836120 -0.9836120 -0.9809006
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4889388
## 4: -0.2761436 -0.2405762 -0.2108422 -0.1939883 -0.1853558 -0.1853558 -0.1936164
## 5: -0.8006691 -0.8036849 -0.8036849 -0.8040171 -0.8100677 -0.8242570 -0.8401903
## 6: -0.7299447 -0.8038202 -0.8719431 -0.9400661 -1.0047072 -1.0693484 -1.1339895
##         XT207      XT208      XT209      XT210      XT211      XT212      XT213
## 1:  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088  0.3826088
## 2: -0.9684280 -0.9438185 -0.9075886 -0.8713588 -0.8362909 -0.8119397 -0.7971172
## 3: -1.4889388 -1.4889388 -1.4889388 -1.4889388 -1.4854701 -1.4689212 -1.4284498
## 4: -0.2132694 -0.2428371 -0.2704473 -0.2806262 -0.2806262 -0.2806262 -0.2994179
## 5: -0.8561236 -0.8720568 -0.8879901 -0.9039234 -0.9198567 -0.9293810 -0.9303444
## 6: -1.1986306 -1.2632718 -1.3279129 -1.3925541 -1.4571953 -1.5086659 -1.5601366
##         XT214      XT215      XT216      XT217      XT218      XT219      XT220
## 1:  0.3957333  0.4088578  0.4635434  0.5182290  0.5729146  0.6276002  0.6768172
## 2: -0.7971172 -0.7971172 -0.7971172 -0.7860778 -0.7680146 -0.7317848 -0.6955550
## 3: -1.3833683 -1.3403153 -1.3163479 -1.3097543 -1.3097543 -1.3097543 -1.3097543
## 4: -0.3261374 -0.3558715 -0.3856055 -0.4153396 -0.4450737 -0.4506134 -0.4377919
## 5: -0.9303444 -0.9303444 -0.9221227 -0.9085622 -0.8926289 -0.8770468 -0.8685760
## 6: -1.5970744 -1.6340121 -1.6709498 -1.7078875 -1.7448253 -1.7817630 -1.8187008
##         XT221      XT222      XT223      XT224      XT225        XT226
## 1:  0.7260343  0.7260343  0.7260343  0.7260343  0.7260343  0.726034290
## 2: -0.6593252 -0.6322755 -0.6106229 -0.6106229 -0.6106229 -0.610622870
## 3: -1.3097543 -1.3097543 -1.3097543 -1.2834719 -1.2458413 -1.200759900
## 4: -0.4073531 -0.3648759 -0.2939761 -0.2047740 -0.1155719 -0.005131088
## 5: -0.8670147 -0.8670147 -0.8683671 -0.8736703 -0.8896036 -0.905536880
## 6: -1.8556385 -1.8774378 -1.8992370 -1.8900024 -1.8807679 -1.871533300
##         XT227      XT228      XT229      XT230      XT231      XT232      XT233
## 1:  0.7260343  0.7785326  0.8310309  0.8857167  0.9404024  0.9950881  1.0497738
## 2: -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229 -0.6106229
## 3: -1.1556784 -1.1105969 -1.0655154 -1.0204339 -0.9753525 -0.9302710 -0.8851895
## 4:  0.1138051  0.2327414  0.3325139  0.4257092  0.5149114  0.5568992  0.5768067
## 5: -0.9214701 -0.9374034 -0.9533367 -0.9692701 -0.9852034 -0.9919666 -0.9936742
## 6: -1.8622988 -1.8391371 -1.8159754 -1.7882722 -1.7605690 -1.7345311 -1.7084931
##         XT234      XT235      XT236      XT237      XT238      XT239      XT240
## 1:  1.0596173  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607
## 2: -0.6106229 -0.6106229 -0.6106229 -0.6061684 -0.5972594 -0.5666720 -0.5304422
## 3: -0.8401080 -0.7950266 -0.7499451 -0.7048636 -0.6597821 -0.6120094 -0.5462224
## 4:  0.5761216  0.5548830  0.5112704  0.4518023  0.3923342  0.3328661  0.2733980
## 5: -0.9936742 -0.9936742 -0.9936742 -0.9936742 -0.9936742 -0.9918646 -0.9854051
## 6: -1.6900242 -1.6715553 -1.6530865 -1.6346176 -1.6161487 -1.5976798 -1.5792110
##         XT241      XT242      XT243      XT244      XT245      XT246
## 1:  1.0694607  1.0694607  1.0694607  1.0694607  1.0694607  1.0104002
## 2: -0.4942124 -0.4579826 -0.4217528 -0.3855229 -0.3492930 -0.3130631
## 3: -0.4560594 -0.3658964 -0.2811060 -0.2101085 -0.1650271 -0.1199456
## 4:  0.2139299  0.1984854  0.1957254  0.1957254  0.2532751  0.3286183
## 5: -0.9694717 -0.9535384 -0.9397058 -0.9390169 -0.9549503 -0.9708836
## 6: -1.5607422 -1.5419705 -1.5231988 -1.4954954 -1.4677920 -1.4400886
##          XT247       XT248       XT249       XT250       XT251       XT252
## 1:  0.95133972  0.84196835  0.73259698  0.62322566  0.51385434  0.42635724
## 2: -0.27884746 -0.25033870 -0.23763371 -0.23763371 -0.23763371 -0.23763371
## 3: -0.08188148 -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207
## 4:  0.41782045  0.50702262  0.59622481  0.68738449  0.79357756  0.92815400
## 5: -0.98681688 -0.99265395 -0.99367425 -0.99367425 -0.99399695 -1.00428300
## 6: -1.41238520 -1.38892060 -1.36545590 -1.34698710 -1.32851830 -1.31004940
##          XT253       XT254       XT255       XT256       XT257       XT258
## 1:  0.33886014  0.28417443  0.22948873  0.17480298  0.12011723  0.05121327
## 2: -0.23763371 -0.23763371 -0.23763371 -0.23763371 -0.23763371 -0.23763371
## 3: -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207 -0.05546207
## 4:  1.07635440  1.22290080  1.34807150  1.46700770  1.58594380  1.70488000
## 5: -1.01908680 -1.03502010 -1.05095340 -1.06688660 -1.08282000 -1.09875330
## 6: -1.29158050 -1.27311170 -1.25464280 -1.23617390 -1.21770500 -1.19635980
##          XT259       XT260      XT261      XT262      XT263      XT264
## 1: -0.01769069 -0.12706188 -0.2364331 -0.3458042 -0.4551754 -0.5579844
## 2: -0.23763371 -0.23763371 -0.2376337 -0.2376337 -0.2376337 -0.2376337
## 3: -0.06119350 -0.08744345 -0.1296467 -0.1747281 -0.2165800 -0.2308463
## 4:  1.82381620  1.94275240  2.0616886  2.1806248  2.2983864  2.4045796
## 5: -1.11468660 -1.13061990 -1.1465531 -1.1624864 -1.1784197 -1.1723525
## 6: -1.17501460 -1.14731120 -1.1196078 -1.0919044 -1.0642010 -0.9956239
##         XT265      XT266      XT267      XT268       XT269        XT270
## 1: -0.6607933 -0.7154791 -0.7701648 -0.8248505 -0.87953624 -0.934221990
## 2: -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.23763371 -0.237633710
## 3: -0.2346465 -0.2346465 -0.2346465 -0.1645038 -0.08171203  0.008450843
## 4:  2.4998109  2.5852256  2.6553133  2.6727544  2.67275440  2.672754400
## 5: -1.1570409 -1.1411076 -1.1254496 -1.1212141 -1.12033380 -1.120333800
## 6: -0.9270468 -0.8439369 -0.7608270 -0.6671202 -0.57341336 -0.425662320
##          XT271      XT272       XT273      XT274      XT275      XT276
## 1: -0.98890774 -0.9900015 -0.99109518 -0.9910952 -0.9910952 -0.9910952
## 2: -0.23763371 -0.2376337 -0.23763371 -0.2376337 -0.2376337 -0.2376337
## 3:  0.09861372  0.1186538  0.12372234  0.1237223  0.1237223  0.1577372
## 4:  2.59629520  2.5070927  2.41789040  2.3286882  2.2394860  2.1514583
## 5: -1.12033380 -1.1203338 -1.12033380 -1.1203338 -1.1231527 -1.1322334
## 6: -0.27791127 -0.1301602  0.01759083  0.1326429  0.2476949  0.3400394
##         XT277      XT278      XT279      XT280      XT281      XT282
## 1: -0.9910952 -0.9910952 -0.9910952 -0.9910952 -0.9910952 -0.9910952
## 2: -0.2376337 -0.2353742 -0.2312167 -0.2002161 -0.1639863 -0.1277565
## 3:  0.2024724  0.2474667  0.2885537  0.3029072  0.3029072  0.3029072
## 4:  2.0792471  2.0149636  1.9554955  1.8960274  1.8365593  1.7806733
## 5: -1.1481666 -1.1640999 -1.1792739 -1.1836636 -1.1836636 -1.1836636
## 6:  0.4323838  0.5238200  0.6152561  0.6521938  0.6891316  0.7260694
##          XT283       XT284       XT285       XT286       XT287       XT288
## 1: -0.99109518 -0.99109518 -0.99109518 -0.99109518 -0.99109518 -0.99109518
## 2: -0.09303731 -0.06037112 -0.05113937 -0.05113937 -0.05113937 -0.05113937
## 3:  0.29513240  0.26695612  0.22187458  0.17679304  0.13171150  0.08663002
## 4:  1.73394840  1.75099800  1.78073210  1.81046620  1.78828800  1.76070710
## 5: -1.18386920 -1.19697890 -1.21230310 -1.22823640 -1.24416970 -1.26010290
## 6:  0.76300716  0.77542067  0.78783418  0.76936529  0.75089640  0.73242751
##          XT289        XT290       XT291       XT292       XT293       XT294
## 1: -0.99109518 -0.991095180 -0.99109518 -0.99109518 -0.99109518 -0.99109518
## 2: -0.05113937 -0.051139370 -0.05113937 -0.05113937 -0.05157836 -0.05395409
## 3:  0.04154861 -0.003532826 -0.03656331 -0.05546207 -0.05546207 -0.05546207
## 4:  1.73097300  1.701239000  1.67150500  1.64403180  1.62916480  1.62478010
## 5: -1.27603620 -1.291969500 -1.30423280 -1.31032300 -1.31032300 -1.31032300
## 6:  0.71395862  0.687466370  0.66097412  0.63327079  0.60556747  0.58603890
##          XT295       XT296      XT297      XT298      XT299      XT300
## 1: -0.99109518 -0.99109518 -0.9910952 -0.9910952 -0.9910952 -0.9910952
## 2: -0.07252088 -0.10875067 -0.1449805 -0.1810941 -0.2155421 -0.2376337
## 3: -0.06809614 -0.09483699 -0.1399184 -0.1849999 -0.2300813 -0.2751628
## 4:  1.62258770  1.61409230  1.5883710  1.5586369  1.5289028  1.4991688
## 5: -1.31239360 -1.32423940 -1.3401727 -1.3561061 -1.3720394 -1.3879726
## 6:  0.56651033  0.56651033  0.5665103  0.5665103  0.5665103  0.5665103
##         XT301      XT302      XT303      XT304      XT305      XT306      XT307
## 1: -0.9910952 -0.9757832 -0.9604711 -0.9057854 -0.8510997 -0.7964140 -0.7417282
## 2: -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337 -0.2376337
## 3: -0.3202444 -0.3653259 -0.3890267 -0.3713365 -0.3270922 -0.2820107 -0.2369291
## 4:  1.4694348  1.4391135  1.3838932  1.3262260  1.2667580  1.2072899  1.1478218
## 5: -1.4039059 -1.4198392 -1.4323556 -1.4369826 -1.4369826 -1.4369826 -1.4369826
## 6:  0.5665103  0.5665103  0.5665103  0.5678728  0.5692352  0.5784697  0.5877041
##         XT308      XT309      XT310       XT311       XT312       XT313
## 1: -0.6946985 -0.6476688 -0.6476688 -0.64766875 -0.64766875 -0.64766875
## 2: -0.2376337 -0.2376337 -0.2376337 -0.23763371 -0.23763371 -0.23763371
## 3: -0.1918477 -0.1467662 -0.1016848 -0.06120346 -0.05663826 -0.05546207
## 4:  1.0943436  1.0603618  1.0531583  1.04446710  1.01898080  0.90994938
## 5: -1.4369826 -1.4369826 -1.4369826 -1.44034250 -1.45251250 -1.46844580
## 6:  0.5969386  0.6061730  0.6207059  0.63523879  0.65370767  0.67217655
##          XT314       XT315        YT1        YT2        YT3        YT4
## 1: -0.64766875 -0.64766875 -2.1193958 -2.1193958 -2.1193958 -2.1193958
## 2: -0.23763371 -0.23763371  0.6666239  0.6666239  0.6666239  0.6666239
## 3: -0.05546207 -0.05546207 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.79101316  0.67207694  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -1.48437920 -1.50031250 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6:  0.69064543  0.70911432 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##           YT5        YT6        YT7        YT8        YT9       YT10       YT11
## 1: -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958
## 2:  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT12       YT13       YT14       YT15       YT16       YT17       YT18
## 1: -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958 -2.1193958
## 2:  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239  0.6666239
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT19       YT20       YT21       YT22       YT23       YT24       YT25
## 1: -2.1193958 -2.0515592 -1.9837226 -1.8667630 -1.7498034 -1.6328438 -1.5158842
## 2:  0.6666239  0.6666239  0.6666239  0.6850068  0.7202408  0.7574904  0.7951970
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT26       YT27       YT28       YT29       YT30       YT31       YT32
## 1: -1.4503868 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8329035  0.8566885  0.8597792  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667  0.3740667
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804
##          YT33       YT34       YT35       YT36       YT37       YT38       YT39
## 1: -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302 -0.1897302
## 4:  0.3821855  0.4311240  0.4859260  0.5330415  0.5534326  0.5570033  0.5662498
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.3974369
## 6: -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0800804 -1.0230950 -0.9661096
##          YT40       YT41       YT42       YT43       YT44       YT45       YT46
## 1: -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894 -1.3848894
## 2:  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198  0.8607198
## 3: -0.1898701 -0.1943401 -0.2125492 -0.2307584 -0.2479439 -0.2621058 -0.2621058
## 4:  0.5907190  0.6455586  0.6967335  0.7399400  0.7399400  0.7399400  0.7399400
## 5: -0.3974369 -0.3724914 -0.3247511 -0.2667493 -0.2087474 -0.1765722 -0.1668980
## 6: -0.9081745 -0.8502393 -0.8160481 -0.7818568 -0.7818568 -0.7818568 -0.7818568
##          YT47       YT48       YT49        YT50        YT51        YT52
## 1: -1.3848894 -1.3848894 -1.3848894 -1.38488940 -1.38488940 -1.38488940
## 2:  0.8607198  0.8607198  0.8607198  0.86071984  0.86071984  0.86071984
## 3: -0.2621058 -0.2621058 -0.2621058 -0.26210580 -0.26210580 -0.26210580
## 4:  0.7399400  0.7399400  0.7399400  0.73993996  0.73993996  0.75151682
## 5: -0.1668980 -0.1636934 -0.1482753 -0.09127556 -0.03327389  0.02359626
## 6: -0.7818568 -0.7818568 -0.7818568 -0.78185684 -0.78185684 -0.78185684
##           YT53        YT54        YT55        YT56        YT57        YT58
## 1: -1.38488940 -1.38488940 -1.38488940 -1.38488940 -1.38488940 -1.38488940
## 2:  0.86071984  0.86071984  0.86071984  0.86071984  0.86071984  0.86071984
## 3: -0.26210580 -0.26210580 -0.26210580 -0.26210580 -0.26210580 -0.26210580
## 4:  0.78414253  0.83898233  0.87728374  0.89258176  0.83548672  0.78301493
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -0.78185684 -0.78185684 -0.78185684 -0.78185684 -0.78185684 -0.78185684
##           YT59        YT60        YT61       YT62       YT63       YT64
## 1: -1.38488940 -1.38488940 -1.38488940 -1.3848894 -1.3848894 -1.3848894
## 2:  0.86071984  0.86071984  0.86071984  0.8607198  0.8607198  0.8607198
## 3: -0.26210580 -0.26173439 -0.25228406 -0.2369818 -0.2187726 -0.2005635
## 4:  0.73993996  0.73993996  0.73993996  0.7399400  0.7399400  0.7399400
## 5:  0.06364033  0.06364033  0.09383746  0.1436680  0.2016697  0.2555598
## 6: -0.78185684 -0.78185684 -0.78185684 -0.7707763 -0.7596958 -0.6631372
##          YT65       YT66       YT67        YT68        YT69         YT70
## 1: -1.3848894 -1.3848894 -1.3848894 -1.38488940 -1.38488940 -1.341848300
## 2:  0.8607198  0.8607198  0.8607198  0.86071984  0.86071984  0.860719840
## 3: -0.1718985 -0.1385603 -0.1021420 -0.06572382 -0.02930557  0.007112684
## 4:  0.7399400  0.7399400  0.7399400  0.73993996  0.73993996  0.739939960
## 5:  0.2930039  0.2941786  0.2941786  0.29417865  0.29417865  0.294178650
## 6: -0.5665786 -0.4700200 -0.3734614 -0.26645548 -0.15944956 -0.043579250
##           YT71        YT72       YT73       YT74       YT75       YT76
## 1: -1.29880710 -1.20523940 -1.1116717 -1.0181040 -0.9245362 -0.8234831
## 2:  0.86071984  0.86071984  0.8701935  0.8992460  0.9336602  0.9713667
## 3:  0.04353095  0.07994922  0.1058996  0.1262788  0.1444880  0.1626971
## 4:  0.73993996  0.73993996  0.7399400  0.7372901  0.7224620  0.6653671
## 5:  0.29417865  0.29417865  0.2941786  0.2941786  0.2941786  0.2941786
## 6:  0.07229106  0.18816136  0.3040317  0.4199020  0.5357723  0.6516426
##          YT77       YT78       YT79       YT80       YT81       YT82
## 1: -0.7224300 -0.6054704 -0.4885108 -0.3715511 -0.2545915 -0.1586847
## 2:  1.0090731  1.0467796  1.0844861  1.1221926  1.1598991  1.1976056
## 3:  0.1907521  0.2260833  0.2625015  0.2985312  0.3261182  0.3443273
## 4:  0.6082722  0.5511773  0.4940825  0.4369876  0.3951155  0.3747245
## 5:  0.2941786  0.2941786  0.2941786  0.2991165  0.3248135  0.3815485
## 6:  0.7675129  0.8605892  0.9536654  1.0116008  1.0695362  1.1274716
##           YT83        YT84        YT85        YT86        YT87        YT88
## 1: -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777
## 2:  1.23289320  1.24278350  1.24891110  1.24891110  1.24891110  1.24891110
## 3:  0.36253647  0.38074563  0.39895477  0.41716388  0.43537299  0.45102753
## 4:  0.37406670  0.37406670  0.37406670  0.37406670  0.37406670  0.37406670
## 5:  0.43955033  0.49133592  0.52471758  0.52471758  0.52471758  0.52471758
## 6:  1.18540710  1.22751300  1.26961890  1.30824230  1.34686580  1.39023780
##           YT89        YT90        YT91        YT92        YT93        YT94
## 1: -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777 -0.06277777
## 2:  1.27522230  1.30516180  1.34286820  1.38057470  1.41828120  1.43345250
## 3:  0.46164942  0.46164942  0.46164942  0.46164942  0.46164942  0.46164942
## 4:  0.37406670  0.37406670  0.37406670  0.37406670  0.37406670  0.39163869
## 5:  0.52471758  0.52471758  0.52471758  0.52471758  0.52471758  0.52471758
## 6:  1.43360970  1.49154470  1.54947960  1.60741450  1.66534930  1.71030440
##           YT95       YT96      YT97      YT98      YT99     YT100     YT101
## 1: -0.06277777 0.02143312 0.1056440 0.1992117 0.2927793 0.3863470 0.4799146
## 2:  1.44300680 1.44300680 1.4430068 1.4430068 1.4240998 1.3978826 1.3601761
## 3:  0.46164942 0.46164942 0.4616494 0.4616494 0.4616494 0.4616494 0.4616494
## 4:  0.43649895 0.49291725 0.5337745 0.5570033 0.5570033 0.5693131 0.5954550
## 5:  0.52471758 0.52471758 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176
## 6:  1.75525940 1.79388280 1.8325063 1.8673306 1.9021549 1.9021549 1.9021549
##        YT102     YT103     YT104     YT105     YT106     YT107     YT108
## 1: 0.5734823 0.6670500 0.7606177 0.8541854 0.9477532 1.0413209 1.0913796
## 2: 1.3224697 1.2847632 1.2624833 1.2501205 1.2489111 1.2489111 1.2489111
## 3: 0.4616494 0.4616494 0.4653736 0.4884231 0.5220392 0.5584575 0.5948757
## 4: 0.6525499 0.7096447 0.7667396 0.8238347 0.8809297 0.8989340 0.8499954
## 5: 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176 0.5247176
## 6: 1.9021549 1.9021549 1.8920243 1.8818937 1.8625823 1.8432709 1.8239594
##        YT109     YT110     YT111     YT112     YT113     YT114     YT115
## 1: 1.1414383 1.1648302 1.1882221 1.2116140 1.2350059 1.2471697 1.2593335
## 2: 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111 1.2489111
## 3: 0.6312940 0.6677122 0.7041304 0.7405486 0.7911831 0.8445021 0.8991295
## 4: 0.7935394 0.7364444 0.6793495 0.6222546 0.5651597 0.5080649 0.4509700
## 5: 0.5247176 0.5247176 0.5247176 0.5310662 0.5670420 0.6238343 0.6818361
## 6: 1.8046479 1.7302504 1.6558529 1.5786061 1.5013592 1.4313938 1.3614285
##        YT116     YT117     YT118      YT119       YT120       YT121       YT122
## 1: 1.2593335 1.2593335 1.2593335 1.25933350 1.243427000 1.227520500 1.180736600
## 2: 1.2489111 1.2489111 1.2489111 1.24891110 1.248911100 1.248911100 1.248911100
## 3: 0.9537569 0.9943815 1.0314339 1.06790650 1.105016200 1.154518300 1.209145600
## 4: 0.3826741 0.2994937 0.1853038 0.07757891 0.008192965 0.008192965 0.008192965
## 5: 0.7178809 0.7126724 0.6546707 0.59666902 0.546190720 0.524717580 0.524717580
## 6: 1.3034931 1.2455578 1.1876223 1.12968690 1.071751700 1.013816600 0.955881410
##          YT123      YT124      YT125      YT126      YT127      YT128
## 1:  1.13395270  1.0871689  1.0403850  0.9842444  0.9281038  0.8345360
## 2:  1.24891110  1.2459279  1.2230568  1.1938967  1.1561902  1.1184837
## 3:  1.26377300  1.3135066  1.3444463  1.3626554  1.3808646  1.3990738
## 4: -0.01390833 -0.0628845 -0.1199795 -0.1770745 -0.2341694 -0.2912643
## 5:  0.52471758  0.5247176  0.6184648  0.7317618  0.8477653  0.9568357
## 6:  0.89794625  0.8444433  0.7909403  0.7523169  0.7136934  0.6750700
##         YT129      YT130      YT131      YT132      YT133      YT134      YT135
## 1:  0.7409683  0.6474006  0.5538329  0.4602652  0.3666975  0.2731298  0.1795622
## 2:  1.0807773  1.0430708  1.0053643  0.9676579  0.9299514  0.8922449  0.8545384
## 3:  1.4172831  1.4354924  1.4537018  1.4673183  1.4749076  1.4749076  1.4749076
## 4: -0.3645968 -0.4532274 -0.5674173 -0.6721916 -0.7596757 -0.8167707 -0.8738656
## 5:  1.0317240  1.0907852  1.1487869  1.1935499  1.2163332  1.2163332  1.2163332
## 6:  0.6364465  0.6231499  0.6098533  0.6098533  0.6098533  0.6082704  0.6066875
##          YT136        YT137      YT138      YT139      YT140      YT141
## 1:  0.08599451 -0.007573141 -0.1011408 -0.1947084 -0.2021939 -0.2096793
## 2:  0.81683187  0.779125350  0.7414188  0.7037123  0.6660057  0.6282992
## 3:  1.47994520  1.490581000  1.5087899  1.5269987  1.5401438  1.5472821
## 4: -0.95542974 -1.069619600 -1.1838095 -1.2979993 -1.4121892 -1.5263790
## 5:  1.22779240  1.266258600  1.3242603  1.3821354  1.4386686  1.4468715
## 6:  0.58737575  0.568064050  0.5487523  0.5294406  0.5395714  0.5497022
##         YT142      YT143      YT144      YT145      YT146      YT147
## 1: -0.2096793 -0.2096793 -0.2096793 -0.2096793 -0.1549422 -0.1002051
## 2:  0.5905928  0.5528864  0.5151799  0.4907769  0.4734690  0.4725284
## 3:  1.5472821  1.5472821  1.5519534  1.5638780  1.5820873  1.6002966
## 4: -1.5987720 -1.6382385 -1.6382385 -1.6382385 -1.6382385 -1.6382385
## 5:  1.4468715  1.4468715  1.4468715  1.4468715  1.4468715  1.4468715
## 6:  0.5883256  0.6269491  0.6655725  0.7041960  0.6886832  0.6731705
##          YT148      YT149      YT150      YT151      YT152      YT153
## 1: -0.03002934  0.0401464  0.1103222  0.1804979  0.2506737  0.3208494
## 2:  0.47252837  0.4725284  0.4619931  0.4422127  0.4076238  0.3699174
## 3:  1.61464590  1.6192558  1.6196585  1.6196585  1.6196585  1.6196585
## 4: -1.63128490 -1.6032824 -1.5461875 -1.4890926 -1.4319976 -1.3749027
## 5:  1.44687150  1.4468715  1.4468715  1.4468715  1.4468715  1.4468715
## 6:  0.65385878  0.6345470  0.6152353  0.5959236  0.5766119  0.5573001
##         YT154      YT155      YT156      YT157      YT158      YT159      YT160
## 1:  0.3910252  0.4612010  0.5313767  0.6015525  0.6717283  0.7419040  0.8120799
## 2:  0.3322110  0.3024194  0.2838752  0.2784329  0.2784329  0.2784329  0.2729906
## 3:  1.6196585  1.6196585  1.6186771  1.6013898  1.5834703  1.5652609  1.5470516
## 4: -1.3178078 -1.2858962 -1.2723649 -1.2723649 -1.2723649 -1.2723649 -1.2723649
## 5:  1.4468715  1.4473897  1.4539975  1.5041391  1.5621409  1.6201428  1.6702843
## 6:  0.5379884  0.5186768  0.5145611  0.5104455  0.5104455  0.5104455  0.5063299
##         YT161      YT162      YT163      YT164      YT165       YT166
## 1:  0.8822557  0.9524315  1.0226073  1.0843620  1.1461167  1.19290050
## 2:  0.2544464  0.2246547  0.1869482  0.1492416  0.1115351  0.07382856
## 3:  1.5288427  1.5106339  1.4924250  1.4742160  1.4560067  1.43779740
## 4: -1.2588335 -1.2269220 -1.1698270 -1.1127321 -1.0556372 -0.99854223
## 5:  1.6768921  1.6774104  1.6774104  1.6774104  1.6774104  1.67741040
## 6:  0.5022143  0.4829025  0.4635908  0.4442790  0.4249673  0.40565557
##         YT167        YT168       YT169       YT170      YT171      YT172
## 1:  1.2396843  1.286468100  1.33325190  1.36974320  1.4062346  1.4062346
## 2:  0.0361221 -0.001584341 -0.03929078 -0.07699722 -0.1147037 -0.1524102
## 3:  1.4191854  1.396366200  1.36380800  1.32738970  1.2909714  1.2608379
## 4: -0.9414473 -0.855259870 -0.74802358 -0.63383364 -0.5453534 -0.4730357
## 5:  1.6774104  1.677410400  1.67741040  1.67741040  1.6765812  1.6648340
## 6:  0.3863438  0.367032150  0.34772045  0.32967509  0.3116297  0.3116297
##         YT173      YT174      YT175      YT176      YT177      YT178
## 1:  1.4062346  1.4062346  1.4062346  1.4043633  1.4024919  1.3791000
## 2: -0.1901168 -0.2278233 -0.2655299 -0.3032364 -0.3409429 -0.3786493
## 3:  1.2379575  1.2197484  1.2015393  1.1833302  1.1651211  1.1469120
## 4: -0.4159408 -0.3588460 -0.3017511 -0.2446562 -0.1875613 -0.1304664
## 5:  1.6142692  1.5562673  1.4982655  1.4402637  1.3822620  1.3242603
## 6:  0.3116297  0.3116297  0.3116297  0.3116297  0.3116297  0.3116297
##          YT179       YT180       YT181      YT182      YT183      YT184
## 1:  1.35570810  1.33231620  1.30892430  1.2855324  1.2621405  1.2387486
## 2: -0.41635575 -0.45406219 -0.47866680 -0.4979500 -0.4979500 -0.4979500
## 3:  1.12870290  1.10292060  1.07154000  1.0351218  0.9987035  0.9698745
## 4: -0.07337133 -0.01627632 -0.08968403 -0.2609688 -0.4322536 -0.5731491
## 5:  1.26625860  1.20825700  1.15025530  1.0922536  1.0342519  0.9990334
## 6:  0.31162973  0.31162973  0.31162973  0.3116297  0.3116297  0.3116297
##         YT185      YT186      YT187      YT188      YT189      YT190      YT191
## 1:  1.2153567  1.1919648  1.1685729  1.1451810  1.1217891  1.0796837  1.0375782
## 2: -0.4979500 -0.5087003 -0.5241537 -0.5616183 -0.5993247 -0.6370312 -0.6661912
## 3:  0.9470725  0.9288634  0.9106542  0.8924451  0.8742359  0.8560268  0.8378177
## 4: -0.6967546 -0.8109445 -0.8995752 -0.9729078 -1.0300027 -1.0326902 -0.9798990
## 5:  0.9857948  0.9857948  0.9847353  0.9678486  0.9167800  0.8587782  0.8007763
## 6:  0.3116297  0.3182780  0.3249263  0.3442380  0.3635497  0.3828614  0.4021731
##         YT192      YT193      YT194      YT195      YT196      YT197      YT198
## 1:  0.9907943  0.9440105  0.8972266  0.8504427  0.8190975  0.7877523  0.7643604
## 2: -0.6890623 -0.6920455 -0.6920455 -0.6920455 -0.6920455 -0.6920455 -0.6920455
## 3:  0.8132433  0.7792719  0.7428537  0.7064354  0.6751424  0.6562418  0.6379783
## 4: -0.8657092 -0.7596382 -0.6804419 -0.6233469 -0.5662519 -0.4744640 -0.3635068
## 5:  0.7427745  0.6847728  0.6267712  0.5687695  0.5107677  0.4527659  0.3947641
## 6:  0.3917258  0.3812785  0.3619668  0.3426551  0.3195443  0.2964336  0.2578102
##         YT199      YT200       YT201       YT202        YT203       YT204
## 1:  0.7409684  0.7175765  0.69418451  0.67079258  0.647400650  0.62400875
## 2: -0.6920455 -0.6920455 -0.69204552 -0.69204552 -0.692045520 -0.69204552
## 3:  0.6197692  0.6015601  0.58335100  0.56514189  0.544315800  0.51812088
## 4: -0.2493170 -0.1661366 -0.09784064 -0.04074563 -0.033115425 -0.05705849
## 5:  0.3367623  0.2787605  0.22075880  0.16275710  0.105964700  0.06998898
## 6:  0.2191867  0.1805633  0.14193980  0.06722560 -0.007488605 -0.10404722
##          YT205       YT206       YT207       YT208       YT209       YT210
## 1:  0.60061684  0.57722495  0.55383306  0.53933008  0.52482710  0.52482710
## 2: -0.69204552 -0.69486746 -0.70784841 -0.73346091 -0.77116747 -0.80887400
## 3:  0.46349344  0.40886602  0.35580276  0.30601576  0.26895537  0.23253715
## 4: -0.11415350 -0.17124847 -0.22834339 -0.28511877 -0.33813545 -0.35768077
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -0.20060583 -0.30001370 -0.39942158 -0.55391535 -0.70840912 -0.86290288
##          YT211       YT212       YT213        YT214       YT215       YT216
## 1:  0.52482710  0.52482710  0.52482710  0.524827100  0.52482710  0.52482710
## 2: -0.84537112 -0.87071487 -0.88614150 -0.886141500 -0.88614150 -0.88614150
## 3:  0.19331674  0.14352978  0.07441741  0.001580879 -0.07043634 -0.13474453
## 4: -0.35768077 -0.35768077 -0.42984817 -0.532461200 -0.64665111 -0.72988793
## 5:  0.06364033  0.06364033  0.06364033  0.063640326  0.06364033  0.06364033
## 6: -1.01739660 -1.15352840 -1.28966020 -1.405530500 -1.52140080 -1.63727110
##          YT217       YT218       YT219       YT220       YT221       YT222
## 1:  0.52482710  0.52482710  0.52482710  0.52716629  0.52950549  0.55289738
## 2: -0.88614150 -0.88614150 -0.88614150 -0.88614150 -0.88614150 -0.88614150
## 3: -0.19203519 -0.24666257 -0.30128996 -0.35591735 -0.41054473 -0.46517211
## 4: -0.79929264 -0.85638753 -0.86702470 -0.84240512 -0.78463366 -0.71530411
## 5:  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033  0.06364033
## 6: -1.75314150 -1.81677520 -1.88040890 -1.93834400 -1.99627920 -2.02255580
##          YT223       YT224       YT225      YT226       YT227      YT228
## 1:  0.57628926  0.59968117  0.62307308  0.6464650  0.66985686  0.6707925
## 2: -0.88614150 -0.88614150 -0.88614150 -0.8861415 -0.88614150 -0.8861415
## 3: -0.51979950 -0.56381101 -0.60323878 -0.6396570 -0.67607528 -0.7018716
## 4: -0.61868623 -0.50449632 -0.39030645 -0.1945524  0.03382744  0.2622072
## 5:  0.05871688  0.03941177 -0.01858989 -0.0765916 -0.13459328 -0.1925950
## 6: -2.04883240 -2.01020900 -1.97158560 -1.9329622 -1.89433880 -1.8265894
##         YT229      YT230      YT231      YT232      YT233      YT234      YT235
## 1:  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282  0.6717282
## 2: -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.8861415
## 3: -0.7226354 -0.7408445 -0.7590537 -0.7772628 -0.7954719 -0.8136810 -0.8318901
## 4:  0.4537891  0.6327416  0.8040264  0.8544308  0.8483040  0.7898934  0.6920163
## 5: -0.2505968 -0.3085987 -0.3666005 -0.3912207 -0.3974369 -0.3974369 -0.3974369
## 6: -1.7588401 -1.6815932 -1.6043463 -1.5305819 -1.4568174 -1.3988822 -1.3409471
##         YT236      YT237      YT238      YT239       YT240       YT241
## 1:  0.6717282  0.6717282  0.6717282  0.6717282  0.67172823  0.67172823
## 2: -0.8861415 -0.8861415 -0.8861415 -0.8861415 -0.88614150 -0.88614150
## 3: -0.8500992 -0.8683084 -0.8865175 -0.9047266 -0.92293571 -0.94114486
## 4:  0.5511772  0.3821476  0.2271757  0.1398607  0.08276584  0.02567097
## 5: -0.3974369 -0.3974369 -0.3974369 -0.3974369 -0.39743692 -0.39743692
## 6: -1.2830119 -1.2250768 -1.1671416 -1.1092065 -1.05127130 -0.99333615
##         YT242      YT243      YT244      YT245      YT246      YT247      YT248
## 1:  0.6717282  0.6717282  0.6717282  0.6717282  0.6590966  0.6464650  0.6230731
## 2: -0.8894338 -0.8980877 -0.9263205 -0.9640269 -1.0017334 -1.0373436 -1.0670142
## 3: -0.9593540 -0.9775632 -0.9957723 -1.0139814 -1.0321905 -1.0475652 -1.0582365
## 4: -0.1159575 -0.2819424 -0.4532272 -0.4771703 -0.4555577 -0.3981997 -0.3125573
## 5: -0.3974369 -0.4012605 -0.4290075 -0.4870092 -0.5450109 -0.6030126 -0.6242612
## 6: -0.9366673 -0.8799985 -0.8606868 -0.8413750 -0.8220633 -0.8027515 -0.8011686
##         YT249       YT250       YT251      YT252      YT253      YT254
## 1:  0.5996812  0.57628928  0.55289738  0.5295055  0.5061135  0.4827216
## 2: -1.0802370 -1.08023700 -1.08023700 -1.0812851 -1.0887028 -1.1092896
## 3: -1.0582365 -1.05823650 -1.06131650 -1.0690698 -1.0872789 -1.1054881
## 4: -0.2108652 -0.08915785  0.09028335  0.3787274  0.7203948  1.0588861
## 5: -0.6279754 -0.62797537 -0.62915009 -0.6665943 -0.7204845 -0.7784862
## 6: -0.7995857 -0.81889740 -0.83820916 -0.8575209 -0.8768327 -0.9132400
##         YT255      YT256      YT257      YT258      YT259      YT260      YT261
## 1:  0.4593296  0.4359377  0.4125457  0.3891538  0.3657618  0.3423699  0.3189780
## 2: -1.1469961 -1.1847027 -1.2222614 -1.2531684 -1.2743330 -1.2743330 -1.2743330
## 3: -1.1236972 -1.1419064 -1.1601155 -1.1783246 -1.1988487 -1.2276606 -1.2629163
## 4:  1.3563322  1.6418069  1.9272816  2.1696814  2.4026844  2.6310642  2.8232473
## 5: -0.8364880 -0.8944897 -0.9524914 -1.0104932 -1.0614121 -1.0890525 -1.0890525
## 6: -0.9496473 -0.9882707 -1.0268941 -1.0294268 -1.0319594 -0.9547126 -0.8774657
##         YT262      YT263      YT264      YT265      YT266      YT267
## 1:  0.2955861  0.2721942  0.2488023  0.2254104  0.2020185  0.1786266
## 2: -1.2743330 -1.2799097 -1.2922590 -1.3299654 -1.3676719 -1.4053783
## 3: -1.2993346 -1.3344484 -1.3584199 -1.3781640 -1.3963731 -1.4145822
## 4:  3.0039288  3.1684477  3.2663246  3.3010551  3.2889333  3.2277602
## 5: -1.0890525 -1.0890525 -1.0890525 -1.0890525 -1.0890525 -1.0890525
## 6: -0.8002189 -0.7229720 -0.5887397 -0.4545074 -0.3000137 -0.1455199
##           YT268      YT269      YT270       YT271       YT272       YT273
## 1:  0.155234720  0.1318428  0.1084509  0.08505903  0.08459119  0.08412335
## 2: -1.434377100 -1.4560657 -1.4183592 -1.38065280 -1.34294630 -1.30851870
## 3: -1.432791300 -1.4510005 -1.4692097 -1.48741880 -1.49146610 -1.49248970
## 4:  2.998102600  2.7126281  2.4271536  2.09274050  1.75017100  1.40760140
## 5: -1.089052500 -1.0890525 -1.0890525 -1.08905250 -1.08905250 -1.08905250
## 6:  0.008973854  0.1634676  0.3179614  0.47245513  0.62694889  0.78144266
##          YT274       YT275       YT276       YT277       YT278       YT279
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.27575740 -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.49248970 -1.49248970 -1.50622880 -1.52429800 -1.54247190 -1.55906760
## 4:  1.06503180  0.72246216  0.38214773  0.07220378 -0.22251734 -0.49727965
## 5: -1.08905250 -1.09931400 -1.13237030 -1.19037200 -1.24837370 -1.30637550
## 6:  0.89034808  0.99925351  1.07650040  1.15374720  1.22941110  1.30507500
##          YT280       YT281       YT282       YT283       YT284       YT285
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.56486520 -1.56486520 -1.56486520 -1.55858440 -1.53582270 -1.49940450
## 4: -0.72158118 -0.86570920 -0.97531339 -1.07319040 -1.08942800 -1.08942800
## 5: -1.36437720 -1.42237900 -1.48038070 -1.53763380 -1.54791260 -1.55012960
## 6:  1.28576360  1.26645220  1.24714070  1.22782920  1.19142190  1.15501470
##          YT286       YT287       YT288       YT289       YT290       YT291
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.07102388  0.05792441
## 2: -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300 -1.27433300
## 3: -1.46298620 -1.43499460 -1.42011410 -1.42011410 -1.42011410 -1.42498170
## 4: -1.08942800 -1.03958740 -0.98455980 -0.92934423 -0.91303139 -0.90649122
## 5: -1.55012960 -1.56122610 -1.59785260 -1.65585430 -1.71385600 -1.75849820
## 6:  1.09707930  1.03914390  0.98120848  0.92327308  0.86533788  0.80740269
##          YT292       YT293       YT294       YT295       YT296       YT297
## 1:  0.03453252  0.01114063 -0.01225128 -0.03564319 -0.03938589 -0.04312859
## 2: -1.27433300 -1.27478990 -1.27726240 -1.29658600 -1.33429240 -1.37199880
## 3: -1.43555730 -1.45376640 -1.47197560 -1.48508160 -1.49248970 -1.49248970
## 4: -0.90649122 -0.90649122 -0.90649122 -0.90649122 -0.90649122 -0.90649122
## 5: -1.78066810 -1.78066810 -1.78066810 -1.78820590 -1.83132790 -1.88932970
## 6:  0.74946753  0.69153238  0.62789867  0.56426497  0.48701806  0.40977115
##          YT298        YT299       YT300       YT301       YT302       YT303
## 1: -0.01973668  0.003655229  0.02704712  0.05043901  0.06728118  0.08412335
## 2: -1.40958440 -1.445436400 -1.46842840 -1.46842840 -1.46842840 -1.46842840
## 3: -1.49248970 -1.492489700 -1.49248970 -1.49248970 -1.49248970 -1.49248970
## 4: -0.90946061 -0.917617030 -1.02301150 -1.13720140 -1.25026360 -1.31551490
## 5: -1.94733160 -2.004918800 -2.01005820 -2.01120700 -2.01120700 -2.02364520
## 6:  0.33252425  0.255277360  0.21981977  0.18436219  0.16505048  0.14573878
##          YT304       YT305       YT306       YT307       YT308       YT309
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.46959750 -1.47955490 -1.51726140 -1.55496780 -1.59267430 -1.62987010
## 3: -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970
## 4: -1.37606790 -1.43789880 -1.53169760 -1.63940370 -1.74784270 -1.83756330
## 5: -2.06480350 -2.12280520 -2.18080690 -2.22243160 -2.24174530 -2.24174530
## 6:  0.12927635  0.11281392  0.11281392  0.11281392  0.11281392  0.11281392
##          YT310       YT311       YT312       YT313       YT314       YT315
## 1:  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335  0.08412335
## 2: -1.66252390 -1.66252390 -1.66252390 -1.66252390 -1.66252390 -1.66252390
## 3: -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970 -1.49248970
## 4: -1.90157430 -1.93363630 -1.91732350 -1.66037750 -1.37490280 -1.08942800
## 5: -2.24174530 -2.22951440 -2.18521200 -2.12721040 -2.06920870 -2.01120700
## 6:  0.12389440  0.13497489  0.15428659  0.17359829  0.19290999  0.21222169
##           ZT1        ZT2        ZT3        ZT4        ZT5        ZT6        ZT7
## 1: -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651
## 2:  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##           ZT8        ZT9       ZT10       ZT11       ZT12       ZT13       ZT14
## 1: -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651
## 2:  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT15       ZT16       ZT17       ZT18       ZT19       ZT20       ZT21
## 1: -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5289651 -1.5182671 -1.5075690
## 2:  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688  1.7868688
## 3:  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5212487  0.5306925
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT22       ZT23       ZT24       ZT25       ZT26       ZT27       ZT28
## 1: -1.4891241 -1.4706792 -1.4522342 -1.4337893 -1.4234602 -1.4131310 -1.4131310
## 2:  1.7693956  1.7359054  1.7004993  1.6646589  1.6288185  1.6062107  1.6032730
## 3:  0.5474001  0.5706131  0.5938262  0.6073079  0.6135131  0.6135131  0.6135131
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552  0.3094552
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT29       ZT30       ZT31       ZT32       ZT33       ZT34       ZT35
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788
## 3:  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131  0.6135131
## 4:  0.3094552  0.3094552  0.3094552  0.3094552  0.3142671  0.3432722  0.3757525
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008  0.6564008
##          ZT36       ZT37       ZT38       ZT39       ZT40       ZT41       ZT42
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788  1.6023788
## 3:  0.6135131  0.6135131  0.6135131  0.6135131  0.6136915  0.6193898  0.6426028
## 4:  0.4036771  0.4157625  0.4178789  0.4343195  0.4778271  0.5753349  0.6733439
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4155222 -0.3188776
## 6:  0.6564008  0.6564008  0.6723916  0.6883824  0.7046398  0.7208972  0.7304917
##          ZT43        ZT44        ZT45       ZT46       ZT47       ZT48
## 1: -1.4131310 -1.41313100 -1.41313100 -1.4131310 -1.4131310 -1.4131310
## 2:  1.6023788  1.60237880  1.60237880  1.6023788  1.6023788  1.5647417
## 3:  0.6658159  0.68902890  0.71224192  0.7354549  0.7586679  0.7812484
## 4:  0.7666300  0.83430861  0.90198709  0.9599971  0.9599971  0.9599971
## 5: -0.2014598 -0.08404193  0.03337552  0.1507935  0.2682118  0.3791426
## 6:  0.7400862  0.74008617  0.74008617  0.7400862  0.7400862  0.7400862
##          ZT49       ZT50       ZT51       ZT52       ZT53       ZT54       ZT55
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.5224724  1.4746851  1.4268980  1.3791108  1.3634599  1.3563923  1.3563923
## 3:  0.8027433  0.8182186  0.8336940  0.8511261  0.8739473  0.9109728  0.9496611
## 4:  0.9533808  0.9267929  0.8943905  0.8674126  0.8529101  0.8515735  0.8515735
## 5:  0.4653477  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761
## 6:  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862
##          ZT56       ZT57       ZT58       ZT59       ZT60       ZT61       ZT62
## 1: -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310 -1.4131310
## 2:  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923  1.3563923
## 3:  0.9873614  1.0195854  1.0447659  1.0679789  1.0911919  1.1144049  1.1376180
## 4:  0.8515735  0.8515735  0.8543135  0.8626229  0.8964623  0.9303016  0.9570454
## 5:  0.4673761  0.4673761  0.4673761  0.4673761  0.4673761  0.4062453  0.3053694
## 6:  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862  0.7400862
##          ZT63        ZT64        ZT65       ZT66       ZT67       ZT68
## 1: -1.4131310 -1.41313100 -1.41313100 -1.4131310 -1.4131310 -1.4131310
## 2:  1.3563923  1.35639230  1.35639230  1.3563923  1.3563923  1.3563923
## 3:  1.1608310  1.18404400  1.20281400  1.2195981  1.2350735  1.2505488
## 4:  0.9594625  0.95999715  0.95999715  0.9599971  0.9599971  0.9599971
## 5:  0.1879517  0.07053347 -0.04688441 -0.1643022 -0.2817201 -0.3916190
## 6:  0.7400862  0.74008617  0.74008617  0.7400862  0.7400862  0.7488811
##          ZT69       ZT70       ZT71       ZT72       ZT73       ZT74       ZT75
## 1: -1.4131310 -1.4004040 -1.3876770 -1.3600096 -1.3323423 -1.3046749 -1.2770075
## 2:  1.3563923  1.3563923  1.3563923  1.3563923  1.3473875  1.3197727  1.2870616
## 3:  1.2660242  1.2814995  1.2969748  1.3124502  1.3145810  1.3096098  1.3018721
## 4:  0.9599971  0.9599971  0.9652546  0.9772621  1.0111013  1.0433700  1.0684208
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215
## 6:  0.7576761  0.7739335  0.7901908  0.8064481  0.8227055  0.8546871  0.8866688
##          ZT76       ZT77       ZT78       ZT79       ZT80       ZT81       ZT82
## 1: -1.2552425 -1.2334775 -1.2242550 -1.2150326 -1.2058101 -1.1965876 -1.1890252
## 2:  1.2512212  1.2153808  1.1776799  1.1328304  1.0865121  1.0387249  0.9909376
## 3:  1.2941344  1.2863967  1.2786591  1.2709214  1.2633488  1.2593639  1.2593639
## 4:  1.0684208  1.0684208  1.0594653  1.0304602  0.9972893  0.9724724  0.9603870
## 5: -0.4660215 -0.5358370 -0.6399189 -0.7573367 -0.8447663 -0.8061224 -0.5789804
## 6:  0.9191835  0.9516982  0.9906092  1.0295202  1.0782923  1.1270643  1.1758363
##          ZT83       ZT84        ZT85       ZT86       ZT87       ZT88
## 1: -1.1814628 -1.1814628 -1.18146280 -1.1814628 -1.1814628 -1.1814628
## 2:  0.9431504  0.8953633  0.84757613  0.7997889  0.7520017  0.7042145
## 3:  1.2593639  1.2593639  1.25936390  1.2593639  1.2593639  1.2593639
## 4:  0.9599971  0.9524452  0.93651695  0.9026776  0.8688383  0.8349991
## 5: -0.3441447 -0.1218929  0.06310221  0.1805196  0.2979378  0.4153553
## 6:  1.2246084  1.2600547  1.29550110  1.3280158  1.3605304  1.3890474
##          ZT89       ZT90       ZT91       ZT92       ZT93       ZT94       ZT95
## 1: -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628 -1.1814628
## 2:  0.6647636  0.6264623  0.5906219  0.5547815  0.5189411  0.4831007  0.4472603
## 3:  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639  1.2593639
## 4:  0.8011599  0.7673207  0.7528182  0.7866574  0.8204966  0.8439212  0.8511725
## 5:  0.4663967  0.4673761  0.4673761  0.4673761  0.3890389  0.2815883  0.1641706
## 6:  1.4175644  1.4338218  1.4500791  1.4663365  1.4825938  1.4606064  1.4386190
##           ZT96         ZT97          ZT98          ZT99       ZT100       ZT101
## 1: -1.14826190 -1.115061100 -1.0781712000 -1.0412814000 -1.00439160 -0.96750171
## 2:  0.41141994  0.375579540  0.3397391300  0.3098891700  0.28235533  0.25846173
## 3:  1.25936390  1.259363900  1.2593639000  1.2593639000  1.25936390  1.25936390
## 4:  0.85157349  0.851573490  0.8515734900  0.8515734900  0.84427768  0.82878384
## 5:  0.05825815  0.003265187  0.0006772828  0.0006772828 -0.01680864 -0.07363785
## 6:  1.39797570  1.357332300  1.3142903000  1.2712483000  1.20621890  1.14118960
##         ZT102      ZT103      ZT104      ZT105      ZT106       ZT107
## 1: -0.9165937 -0.8656858 -0.8103510 -0.7550162 -0.6996815 -0.64434669
## 2:  0.2345681  0.2106745  0.1818932  0.1499698  0.1145126  0.07867217
## 3:  1.2593639  1.2593639  1.2601551  1.2650524  1.2721947  1.27993240
## 4:  0.7949446  0.7611054  0.7272662  0.6934268  0.6595876  0.62574836
## 5: -0.1910556 -0.3084735 -0.4187921 -0.4660215 -0.4660215 -0.46602153
## 6:  1.0761602  1.0111308  0.9418372  0.8725436  0.7993855  0.72622746
##          ZT108        ZT109       ZT110       ZT111      ZT112      ZT113
## 1: -0.58329400 -0.522241310 -0.45768408 -0.39312686 -0.3285696 -0.2640124
## 2:  0.04283177  0.006991367 -0.02884903 -0.06468944 -0.1005298 -0.1363702
## 3:  1.28712430  1.283500300  1.27709200  1.26935430  1.2616166  1.2599199
## 4:  0.59190916  0.558069960  0.51275788  0.45448034  0.3868019  0.3289478
## 5: -0.46602153 -0.466021530 -0.46602153 -0.46602153 -0.4660215 -0.4660215
## 6:  0.65306941  0.579911360  0.52994001  0.47996866  0.4311966  0.3824246
##         ZT114      ZT115      ZT116       ZT117       ZT118       ZT119
## 1: -0.1950284 -0.1260444 -0.0522647  0.02151498  0.09529466  0.16907434
## 2: -0.1722106 -0.2080510 -0.2438914 -0.27973184 -0.31557224 -0.35141264
## 3:  1.2593639  1.2593639  1.2593639  1.25936390  1.25936390  1.25931770
## 4:  0.2804500  0.2466108  0.2061330  0.15683331  0.08915491  0.02339232
## 5: -0.4660215 -0.4660215 -0.4882461 -0.55222708 -0.66964488 -0.78706276
## 6:  0.3397824  0.2971401  0.2646254  0.23211073  0.19959604  0.16708135
##          ZT120       ZT121       ZT122       ZT123       ZT124       ZT125
## 1:  0.24598967  0.32290499  0.40590716  0.48890933  0.57191149  0.65491365
## 2: -0.38725304 -0.42309345 -0.45893385 -0.49477425 -0.52966947 -0.55826345
## 3:  1.25873000  1.24761050  1.23213510  1.21665980  1.20326390  1.19785430
## 4: -0.03100884 -0.06484805 -0.09868741 -0.13252672 -0.16636592 -0.20020512
## 5: -0.90448064 -1.02189850 -1.13931630 -1.25673420 -1.37415210 -1.49156990
## 6:  0.14109627  0.11511118  0.09072516  0.06633915  0.04568429  0.02502944
##          ZT126        ZT127         ZT128        ZT129       ZT130       ZT131
## 1:  0.73422678  0.813539910  0.8780971600  0.942654400  1.00721160  1.07176870
## 2: -0.58486488 -0.608758480 -0.6326520700 -0.656622300 -0.68756648 -0.72000081
## 3:  1.19785430  1.197854300  1.1962696000  1.191585800  1.18384810  1.17611050
## 4: -0.23404432 -0.267883530 -0.3017227700 -0.325938200 -0.34108677 -0.34108677
## 5: -1.60898770 -1.726405600 -1.8157528000 -1.766704800 -1.65357680 -1.53615890
## 6:  0.01690077  0.008772095  0.0006434229 -0.007485249 -0.02094421 -0.03440317
##          ZT132       ZT133       ZT134      ZT135      ZT136      ZT137
## 1:  1.13300590  1.19424300  1.20346550  1.2126880  1.2219105  1.2311329
## 2: -0.75584121 -0.79168162 -0.82752202 -0.8572528 -0.8852975 -0.9091911
## 3:  1.16642120  1.15417070  1.13869530  1.1232200  1.1034633  1.0789488
## 4: -0.34666724 -0.36249527 -0.39633449 -0.4301737 -0.4785155 -0.5461939
## 5: -1.44554110 -1.39941920 -1.39941920 -1.3994192 -1.3762212 -1.2983507
## 6: -0.05066051 -0.06691786 -0.08450775 -0.1020976 -0.1346123 -0.1671270
##         ZT138      ZT139      ZT140      ZT141      ZT142      ZT143      ZT144
## 1:  1.2403554  1.2495779  1.2248617  1.2001455  1.1724781  1.1448107  1.1171433
## 2: -0.9330847 -0.9569783 -0.9757330 -0.9926229 -1.0045697 -1.0165165 -1.0284633
## 3:  1.0479981  1.0170474  0.9796413  0.9345775  0.8804138  0.8262501  0.7740714
## 4: -0.6138724 -0.6673379 -0.7077935 -0.7416328 -0.7754720 -0.8093112 -0.8431505
## 5: -1.1809328 -1.0637714 -0.9493261 -0.9327203 -0.9327203 -0.9327203 -0.9477757
## 6: -0.1996417 -0.2321564 -0.2770640 -0.3219716 -0.3788723 -0.4357730 -0.4926737
##         ZT145      ZT146      ZT147      ZT148      ZT149      ZT150      ZT151
## 1:  1.0894759  1.0546150  1.0197542  0.9828643  0.9459745  0.9090846  0.8721947
## 2: -1.0404101 -1.0523569 -1.0643037 -1.0762505 -1.0881973 -1.1001441 -1.1120909
## 3:  0.7249748  0.6785488  0.6321227  0.5856967  0.5392706  0.4928446  0.4464186
## 4: -0.8679674 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051
## 5: -1.0414127 -1.1571519 -1.2745698 -1.3295630 -1.2894328 -1.1720150 -1.0545971
## 6: -0.5495744 -0.5912839 -0.6329933 -0.6736366 -0.7142800 -0.7549234 -0.7955667
##         ZT152      ZT153      ZT154      ZT155      ZT156      ZT157      ZT158
## 1:  0.8530120  0.8338293  0.8246069  0.8153844  0.8061619  0.7969394  0.7969394
## 2: -1.1240377 -1.1359845 -1.1479313 -1.1573704 -1.1632458 -1.1649702 -1.1649702
## 3:  0.3999925  0.3535665  0.3071405  0.2607144  0.2151224  0.1833882  0.1521911
## 4: -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8832051 -0.8954465
## 5: -0.9681817 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -0.8362101 -0.8768535 -0.9174968 -0.9581402 -0.9923872 -1.0266343 -1.0591490
##         ZT159       ZT160       ZT161       ZT162        ZT163       ZT164
## 1:  0.7969394  0.80616193  0.81538443  0.82460685  0.833829270  0.84305176
## 2: -1.1649702 -1.16324580 -1.15737040 -1.14793130 -1.135984500 -1.12403770
## 3:  0.1212405  0.09028976  0.05933907  0.02838839 -0.002798395 -0.03492443
## 4: -0.9170443 -0.95088352 -0.98472276 -1.01856200 -1.052401200 -1.08171820
## 5: -0.9327203 -0.93272034 -0.93272034 -0.93272034 -0.932720340 -0.93272034
## 6: -1.0916637 -1.12417830 -1.15669300 -1.18920770 -1.221722400 -1.25423710
##          ZT165      ZT166      ZT167      ZT168      ZT169      ZT170
## 1:  0.85227426  0.8614967  0.8707191  0.8799416  0.8891641  0.8963576
## 2: -1.11307860 -1.1068115 -1.1034735 -1.1034735 -1.1034735 -1.1031755
## 3: -0.07249519 -0.1111836 -0.1495297 -0.1843003 -0.2107938 -0.2340068
## 4: -1.08002510 -1.0461859 -1.0123466 -0.9957500 -0.9916287 -0.9916287
## 5: -0.93272034 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -1.28675180 -1.3244635 -1.3621752 -1.4028186 -1.4434620 -1.4846384
##         ZT171      ZT172      ZT173      ZT174      ZT175      ZT176      ZT177
## 1:  0.9035511  0.9035511  0.9035511  0.9035511  0.9035511  0.9042889  0.9050267
## 2: -1.0976917 -1.0899599 -1.0780131 -1.0660663 -1.0541195 -1.0421727 -1.0302259
## 3: -0.2572199 -0.2831035 -0.3120692 -0.3430199 -0.3739706 -0.4018879 -0.4272528
## 4: -0.9916287 -0.9916287 -0.9916287 -1.0033243 -1.0247774 -1.0586166 -1.0858395
## 5: -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9161146 -0.8016693
## 6: -1.5258147 -1.5745868 -1.6233588 -1.6721309 -1.7209029 -1.7536841 -1.7864653
##         ZT178      ZT179      ZT180      ZT181      ZT182      ZT183
## 1:  0.9142492  0.9234717  0.9326941  0.9419165  0.9511390  0.9603615
## 2: -1.0182791 -1.0063323 -0.9943855 -0.9865899 -0.9804802 -0.9804802
## 3: -0.4504658 -0.4736788 -0.4968918 -0.5201048 -0.5433178 -0.5665309
## 4: -1.1000524 -1.1000524 -1.1000524 -1.0420423 -0.9405246 -0.8390069
## 5: -0.6845079 -0.5670900 -0.4496722 -0.3322544 -0.2148365 -0.0974186
## 6: -1.8027227 -1.8189800 -1.8352373 -1.8514947 -1.8528273 -1.8541598
##          ZT184         ZT185         ZT186        ZT187       ZT188      ZT189
## 1:  0.96091485  0.9614681800  0.9614681800  0.961468180  0.96146818  0.9614682
## 2: -0.98048023 -0.9804802300 -0.9770741600 -0.972177930 -0.96030776 -0.9483610
## 3: -0.58651896 -0.6039459400 -0.6194212800 -0.634896630 -0.65037197 -0.6658473
## 4: -0.80953401 -0.8210513800 -0.8548906000 -0.919026970 -1.00129710 -1.1028148
## 5: -0.02612276  0.0006772828  0.0006772828 -0.001467653 -0.03565257 -0.1390351
## 6: -1.85415980 -1.8541598000 -1.8485630000 -1.842966200 -1.82670890 -1.8104516
##         ZT190      ZT191      ZT192      ZT193      ZT194      ZT195      ZT196
## 1:  0.9614682  0.9614682  0.9614682  0.9614682  0.9614682  0.9614682  0.9553814
## 2: -0.9364142 -0.9244674 -0.9125206 -0.9005738 -0.8886270 -0.8766802 -0.8647334
## 3: -0.6813227 -0.6967980 -0.7122734 -0.7277487 -0.7432240 -0.7586994 -0.7785305
## 4: -1.2043325 -1.3058502 -1.4073679 -1.5088856 -1.6104032 -1.7119209 -1.8134386
## 5: -0.2564530 -0.3711314 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.5094915
## 6: -1.7941942 -1.7779369 -1.7554164 -1.7328960 -1.7085100 -1.6841240 -1.6629361
##         ZT197      ZT198      ZT199      ZT200      ZT201      ZT202      ZT203
## 1:  0.9492946  0.9400721  0.9308496  0.9216271  0.9124046  0.9031822  0.8939598
## 2: -0.8527866 -0.8408398 -0.8288930 -0.8169462 -0.8064512 -0.7988131 -0.7959903
## 3: -0.8088935 -0.8397980 -0.8707487 -0.9016994 -0.9326501 -0.9636008 -0.9945515
## 4: -1.8532705 -1.8590180 -1.8590180 -1.8590180 -1.8590180 -1.8590180 -1.8443595
## 5: -0.6116791 -0.7290970 -0.8465148 -0.9104957 -0.9327203 -0.9327203 -0.9327203
## 6: -1.6417483 -1.6336196 -1.6254909 -1.6173623 -1.6092336 -1.6061687 -1.6031038
##         ZT204      ZT205      ZT206      ZT207      ZT208      ZT209      ZT210
## 1:  0.8847373  0.8755148  0.8662924  0.8570699  0.8478474  0.8386250  0.8294025
## 2: -0.7959903 -0.7959903 -0.7942021 -0.7859765 -0.7697465 -0.7458529 -0.7219593
## 3: -1.0255022 -1.0564528 -1.0874035 -1.1183542 -1.1493049 -1.1802556 -1.2112063
## 4: -1.8203446 -1.7865054 -1.7526661 -1.7188269 -1.6849877 -1.6511484 -1.6173092
## 5: -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203 -0.9327203
## 6: -1.6031038 -1.6031038 -1.6015047 -1.5999056 -1.5673909 -1.5348762 -1.5023615
##         ZT211      ZT212      ZT213      ZT214      ZT215      ZT216      ZT217
## 1:  0.8201801  0.8109576  0.8017351  0.7925127  0.7832903  0.7740678  0.7648453
## 2: -0.6988321 -0.6827724 -0.6729970 -0.6729970 -0.6729970 -0.6729970 -0.6766372
## 3: -1.2421570 -1.2731077 -1.3040583 -1.3350090 -1.3652634 -1.3889662 -1.4067049
## 4: -1.5834700 -1.5496308 -1.4730191 -1.3783628 -1.2768451 -1.2120181 -1.1635873
## 5: -0.9327203 -0.8854909 -0.7751723 -0.6577544 -0.5403367 -0.4835075 -0.4660215
## 6: -1.4698468 -1.4566544 -1.4434620 -1.4515906 -1.4597193 -1.4678480 -1.4759767
##         ZT218      ZT219      ZT220      ZT221      ZT222      ZT223      ZT224
## 1:  0.7556229  0.7464004  0.7381002  0.7298000  0.7298000  0.7298000  0.7298000
## 2: -0.6825936 -0.6945404 -0.7064872 -0.7184340 -0.7273537 -0.7344936 -0.7344936
## 3: -1.4221803 -1.4376557 -1.4444699 -1.4470584 -1.4470584 -1.4470584 -1.4380363
## 4: -1.1297480 -1.1096762 -1.1000524 -1.1000524 -1.1000524 -1.1000524 -1.1000524
## 5: -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4660215 -0.4560546 -0.4169736
## 6: -1.4841053 -1.4922340 -1.5003627 -1.5084913 -1.5086246 -1.5087579 -1.4925005
##         ZT225      ZT226       ZT227         ZT228         ZT229         ZT230
## 1:  0.7298000  0.7298000  0.72979996  0.7297999600  0.7297999600  0.7297999600
## 2: -0.7344936 -0.7344936 -0.73203277 -0.7284223300 -0.7164755300 -0.7045287300
## 3: -1.4251186 -1.4096433 -1.39416800 -1.3741790000 -1.3520515000 -1.3288385000
## 4: -1.1000524 -1.1000524 -1.10005240 -1.1000524000 -1.0782429000 -1.0489482000
## 5: -0.2995557 -0.1821378 -0.06569919  0.0006772828  0.0006772828  0.0006772828
## 6: -1.4762432 -1.4599858 -1.44372850 -1.3968220000 -1.3499156000 -1.2930149000
##            ZT231         ZT232         ZT233         ZT234         ZT235
## 1:  0.7297999600  0.7297999600  0.7297999600  0.7222375200  0.7146750700
## 2: -0.6925819300 -0.6806351300 -0.6686883300 -0.6567415300 -0.6447947200
## 3: -1.3056255000 -1.2867507000 -1.2705611000 -1.2550857000 -1.2396104000
## 4: -1.0151090000 -0.9812697900 -0.9474305500 -0.9135913100 -0.8797520900
## 5:  0.0006772828  0.0006772828  0.0006772828  0.0006772828  0.0006772828
## 6: -1.2361142000 -1.1777476000 -1.1193811000 -1.0543517000 -0.9893223300
##            ZT236         ZT237         ZT238      ZT239       ZT240      ZT241
## 1:  0.7054526500  0.6962302200  0.6870077300  0.6777852  0.67483407  0.6718829
## 2: -0.6328479200 -0.6209011200 -0.6089543200 -0.5970075 -0.58506072 -0.5731139
## 3: -1.2241350000 -1.2086597000 -1.1931844000 -1.1777090 -1.16223370 -1.1467583
## 4: -0.8459128600 -0.8127419400 -0.7837368900 -0.7747814 -0.77478141 -0.7747814
## 5:  0.0006772828  0.0006772828  0.0006772828  0.0140131  0.06161534  0.1790336
## 6: -0.9242929400 -0.8592635600 -0.7745121500 -0.6897607 -0.59221666 -0.4946726
##         ZT242      ZT243      ZT244      ZT245       ZT246       ZT247
## 1:  0.6718829  0.6718829  0.6718829  0.6718829  0.66690277  0.66192262
## 2: -0.5622102 -0.5530053 -0.5500037 -0.5500037 -0.55000372 -0.54933953
## 3: -1.1312830 -1.1167298 -1.1045439 -1.0968063 -1.08906860 -1.08133090
## 4: -0.7497306 -0.7174619 -0.6836227 -0.6497834 -0.61594419 -0.58210497
## 5:  0.2964510  0.4216094  0.5951980  0.8300335  1.06486910  1.29970470
## 6: -0.3973950 -0.3001175 -0.2107021 -0.1212866 -0.03187126  0.05754413
##         ZT248      ZT249      ZT250      ZT251      ZT252      ZT253      ZT254
## 1:  0.6527002  0.6434778  0.6342553  0.6250328  0.6158104  0.6065879  0.5973654
## 2: -0.5467935 -0.5390362 -0.5270894 -0.5151426 -0.5035278 -0.4939312 -0.4885071
## 3: -1.0735933 -1.0658556 -1.0581179 -1.0529978 -1.0518494 -1.0595871 -1.0673248
## 4: -0.5482657 -0.5144265 -0.4794734 -0.4359658 -0.3763072 -0.3075594 -0.2350468
## 5:  1.3857356  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.1394971  0.2214502  0.2946082  0.3677663  0.4409243  0.5140824  0.5584569
##         ZT255       ZT256      ZT257      ZT258      ZT259      ZT260
## 1:  0.5881430  0.57892054  0.5696981  0.5604756  0.5512531  0.5420306
## 2: -0.4885071 -0.48850707 -0.4884602 -0.4863059 -0.4810648 -0.4691180
## 3: -1.0762977 -1.08775720 -1.1030748 -1.1185501 -1.1330417 -1.1440116
## 4: -0.1138804  0.02147651  0.1568333  0.3432498  0.5408050  0.7438404
## 5:  1.4007737  1.40077370  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.6028315  0.64347488  0.6841182  0.7196979  0.7552775  0.7796635
##         ZT261      ZT262      ZT263      ZT264      ZT265      ZT266      ZT267
## 1:  0.5328081  0.5235857  0.5143633  0.5051408  0.4959183  0.4866959  0.4774735
## 2: -0.4571712 -0.4452244 -0.4350445 -0.4270104 -0.4270104 -0.4270104 -0.4270104
## 3: -1.1522433 -1.1599809 -1.1682729 -1.1812996 -1.1961227 -1.2115981 -1.2270734
## 4:  0.9683288  1.1996341  1.4365087  1.6733833  1.9102580  2.1399483  2.3405664
## 5:  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737  1.4007737
## 6:  0.8040495  0.8284355  0.8528215  0.8532213  0.8536210  0.8454924  0.8373637
##         ZT268      ZT269      ZT270      ZT271      ZT272      ZT273      ZT274
## 1:  0.4682510  0.4590285  0.4498061  0.4405836  0.4494372  0.4582908  0.4675132
## 2: -0.4256310 -0.4230934 -0.4111467 -0.3991998 -0.3872530 -0.3753062 -0.3633594
## 3: -1.2064313 -1.1792761 -1.1483255 -1.1173748 -1.1104955 -1.1087556 -1.1087556
## 4:  2.4413268  2.5090053  2.5766837  2.5573470  2.5235078  2.4896686  2.3790060
## 5:  1.4007737  1.4007737  1.4007737  1.4203579  1.4854929  1.6029111  1.7203286
## 6:  0.8225722  0.8077807  0.7590087  0.7102367  0.6614646  0.6126926  0.5735150
##         ZT275      ZT276      ZT277      ZT278      ZT279      ZT280      ZT281
## 1:  0.4767356  0.4859581  0.4951806  0.4966562  0.4981317  0.4981317  0.4981317
## 2: -0.3514126 -0.3394658 -0.3275190 -0.3163173 -0.3057415 -0.3040171 -0.3040171
## 3: -1.1087556 -1.1087556 -1.1087556 -1.1087706 -1.1094562 -1.1147302 -1.1224679
## 4:  2.2541750  2.1201547  2.0041346  1.8971367  1.7956190  1.6941014  1.5925836
## 5:  1.8169731  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.5343375  0.5018228  0.4693081  0.4373264  0.4053447  0.4053447  0.4053447
##         ZT282      ZT283      ZT284      ZT285      ZT286      ZT287      ZT288
## 1:  0.4981317  0.4981317  0.5045875  0.5110432  0.5202657  0.5294882  0.5387106
## 2: -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.3040171
## 3: -1.1302056 -1.1339399 -1.1271693 -1.1116939 -1.0962186 -1.0789529 -1.0589015
## 4:  1.4910659  1.3895483  1.2880305  1.1865128  1.0849952  0.9539377  0.8198060
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.4053447  0.4053447  0.4197365  0.4341282  0.4666429  0.4991576  0.5316723
##         ZT289      ZT290      ZT291      ZT292       ZT293       ZT294
## 1:  0.5479330  0.5519909  0.5560488  0.5560488  0.55604880  0.55604880
## 2: -0.3040171 -0.3040171 -0.3040171 -0.3040171 -0.30416190 -0.30494530
## 3: -1.0356885 -1.0124754 -0.9933992 -0.9791741 -0.97143640 -0.96369872
## 4:  0.6833354  0.5238075  0.3584876  0.1944375  0.05908047 -0.05241742
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.86747250  1.86747250
## 6:  0.5641870  0.6037643  0.6433416  0.6839850  0.72462834  0.75567723
##         ZT295      ZT296      ZT297      ZT298      ZT299      ZT300      ZT301
## 1:  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488  0.5560488
## 2: -0.3110677 -0.3230145 -0.3349613 -0.3469081 -0.3588549 -0.3708017 -0.3827485
## 3: -0.9537926 -0.9414652 -0.9259898 -0.9105145 -0.8971298 -0.8865179 -0.8787802
## 4: -0.1489449 -0.2311260 -0.2740989 -0.3070582 -0.3384803 -0.3410868 -0.3410868
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725
## 6:  0.7867261  0.7948548  0.8029835  0.8111121  0.8192408  0.8097796  0.8003183
##         ZT302      ZT303      ZT304      ZT305      ZT306      ZT307
## 1:  0.5534665  0.5508842  0.5416618  0.5324393  0.5232168  0.5139944
## 2: -0.3946953 -0.4066421 -0.4182185 -0.4270104 -0.4270104 -0.4270104
## 3: -0.8710425 -0.8651397 -0.8627891 -0.8627172 -0.8627172 -0.8627172
## 4: -0.3404184 -0.3114134 -0.2796237 -0.2429775 -0.1873845 -0.1235489
## 5:  1.8674725  1.8674725  1.8674725  1.8674725  1.8674725  1.8343190
## 6:  0.7840609  0.7678036  0.7491476  0.7304917  0.6979770  0.6654623
##          ZT308       ZT309       ZT310      ZT311      ZT312      ZT313
## 1:  0.50348075  0.49296714  0.47452222  0.4560773  0.4376324  0.4191875
## 2: -0.42701043 -0.42717222 -0.42877307 -0.4407199 -0.4526667 -0.4646135
## 3: -0.86271720 -0.86271720 -0.86271720 -0.8627172 -0.8627172 -0.8627172
## 4: -0.05587047  0.01180812  0.07948656  0.1570561  0.2537396  0.4455027
## 5:  1.75599960  1.63858220  1.52116390  1.4532661  1.5152189  1.6326367
## 6:  0.63294758  0.60043289  0.55859021  0.5167475  0.4679755  0.4192035
##         ZT314      ZT315
## 1:  0.4007426  0.3822976
## 2: -0.4765603 -0.4885071
## 3: -0.8627172 -0.8627172
## 4:  0.6485381  0.8515735
## 5:  1.7500543  1.8674725
## 6:  0.3704314  0.3216594
head(x_train_long)
##    class time series time index          X
## 1:     6           1          1 -0.3042432
## 2:     6           1          2 -0.3042432
## 3:     6           1          3 -0.3042432
## 4:     6           1          4 -0.3042432
## 5:     6           1          5 -0.3042432
## 6:     6           1          6 -0.3042432
head(y_train_long)
##    class time series time index         Y
## 1:     6           1          1 -2.119396
## 2:     6           1          2 -2.119396
## 3:     6           1          3 -2.119396
## 4:     6           1          4 -2.119396
## 5:     6           1          5 -2.119396
## 6:     6           1          6 -2.119396
head(z_train_long)
##    class time series time index         Z
## 1:     6           1          1 -1.528965
## 2:     6           1          2 -1.528965
## 3:     6           1          3 -1.528965
## 4:     6           1          4 -1.528965
## 5:     6           1          5 -1.528965
## 6:     6           1          6 -1.528965
head(data_long)
##    time series time index          X         Y         Z class
## 1:           1          1 -0.3042432 -2.119396 -1.528965     6
## 2:           1          2 -0.3042432 -2.119396 -1.528965     6
## 3:           1          3 -0.3042432 -2.119396 -1.528965     6
## 4:           1          4 -0.3042432 -2.119396 -1.528965     6
## 5:           1          5 -0.3042432 -2.119396 -1.528965     6
## 6:           1          6 -0.3042432 -2.119396 -1.528965     6

2.3 Task A

We can plot the data in 3D. To do so, we used the plotly package and coordinate information.

x_pos = cal_pos(x_train, 'X')
y_pos = cal_pos(y_train, 'Y')
z_pos = cal_pos(z_train, 'Z')

# a = y[, "pos_2"]
# b = y2[, "pos_2"]
# 
# result = data.table(a, b)
# ggplot(result, aes(x = a, y = b)) +
#   geom_point()

plot_ly(x = x_pos[,"pos_1"], y = y_pos[,"pos_1"], z = z_pos[,"pos_1"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 1")
plot_ly(x = x_pos[,"pos_2"], y = y_pos[,"pos_2"], z = z_pos[,"pos_2"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 2")
plot_ly(x = x_pos[,"pos_3"], y = y_pos[,"pos_3"], z = z_pos[,"pos_3"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 3")
plot_ly(x = x_pos[,"pos_4"], y = y_pos[,"pos_4"], z = z_pos[,"pos_4"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 4")
plot_ly(x = x_pos[,"pos_5"], y = y_pos[,"pos_5"], z = z_pos[,"pos_5"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 5")
plot_ly(x = x_pos[,"pos_6"], y = y_pos[,"pos_6"], z = z_pos[,"pos_6"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 6")
plot_ly(x = x_pos[,"pos_7"], y = y_pos[,"pos_7"], z = z_pos[,"pos_7"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 7")
plot_ly(x = x_pos[,"pos_8"], y = y_pos[,"pos_8"], z = z_pos[,"pos_8"], type="scatter3d", mode="markers") %>%
  layout(title = "3D Representation of Accelerometer for Class 8")

Even if they are not the same, these plots are the graphical (3D) representation of the gestures shown below.

Gesture classes

2.4 Task B

We can apply PCA to get 1D information from 3D. Before that we need to check the scale of the data. If they are not in the same scale, we need to standardize the data to make them in the same scale.

In this step, we are using the accelerometer information. Another possibility would be to use the position information of all instances.

head(apply(x_train[,-1], 1, mean))
## [1] -6.317460e-10 -6.673016e-09  1.633651e-09 -2.000000e-10  8.399683e-09
## [6]  3.206349e-10
head(apply(x_train[,-1], 1, sd))
## [1] 1 1 1 1 1 1
head(apply(y_train[,-1], 1, mean))
## [1]  1.730159e-09 -1.482540e-09  3.675873e-09  4.441270e-10  5.396825e-10
## [6]  3.140952e-09
head(apply(y_train[,-1], 1, sd))
## [1] 1 1 1 1 1 1
head(apply(z_train[,-1], 1, mean))
## [1]  4.174603e-09 -1.059683e-09 -6.152381e-10 -4.825397e-10 -5.166667e-09
## [6] -4.140635e-10
head(apply(z_train[,-1], 1, sd))
## [1] 1 1 1 1 1 1

When we look at the mean and standard deviation of all data, they all have zero mean and 1 standard deviation, which means that the data is ready for PCA.

pca = princomp(data_long[,3:5], cor = T)
summary(pca, loadings=T)
## Importance of components:
##                          Comp.1    Comp.2    Comp.3
## Standard deviation     1.213171 1.0198583 0.6986445
## Proportion of Variance 0.490595 0.3467037 0.1627014
## Cumulative Proportion  0.490595 0.8372986 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.427  0.776  0.464
## Y  0.721        -0.692
## Z  0.546 -0.630  0.553
data_long[, PCA1 := pca$scores[,1]]

When we observe the summary output, we see that with one principal component we can almost explain the 50% of the data. We can plot them with time index information. To be able to compare their information, we need to use the 3D scatter plot of the accelerometer information. If they look the same, we can say that to reduce the data from 3D to 1D is a good method.

pca_plot(1)

plot_ly(x = x_pos[,"X_1"], y = y_pos[,"Y_1"], z = z_pos[,"Z_1"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(2)

plot_ly(x = x_pos[,"X_2"], y = y_pos[,"Y_2"], z = z_pos[,"Z_2"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(3)

plot_ly(x = x_pos[,"X_3"], y = y_pos[,"Y_3"], z = z_pos[,"Z_3"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(4)

plot_ly(x = x_pos[,"X_4"], y = y_pos[,"Y_4"], z = z_pos[,"Z_4"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(5)

plot_ly(x = x_pos[,"X_5"], y = y_pos[,"Y_5"], z = z_pos[,"Z_5"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(6)

plot_ly(x = x_pos[,"X_6"], y = y_pos[,"Y_6"], z = z_pos[,"Z_6"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(7)

plot_ly(x = x_pos[,"X_7"], y = y_pos[,"Y_7"], z = z_pos[,"Z_7"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

pca_plot(8)

plot_ly(x = x_pos[,"X_8"], y = y_pos[,"Y_8"], z = z_pos[,"Z_8"], type="scatter3d", mode="markers")

From the plot above, we can not say that they are similar. But, when we compare the two random data points within each other, we can say that they have similar information.

This is the expected result. Because, as in the summary of the PCA, one component can only explain the half of the data. So, we lose some information in this process.

2.5 Task C

Another approach would be to apply the PCA process for every class individually. We can expect to get better result with this approach, because we can reduce the variance among the classes.

pca_class(1)  
## Importance of components:
##                           Comp.1    Comp.2    Comp.3
## Standard deviation     1.1779640 0.9845807 0.8018738
## Proportion of Variance 0.4625331 0.3231331 0.2143339
## Cumulative Proportion  0.4625331 0.7856661 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.357  0.896  0.263
## Y  0.691        -0.720
## Z  0.629 -0.439  0.642

When we look at the summary, we see that 46% of the data can be explained with one component. It is worse than the general PCA result if we want to explain the class 1.

pca_class(2)  
## Importance of components:
##                           Comp.1    Comp.2    Comp.3
## Standard deviation     1.2400176 0.9682706 0.7244366
## Proportion of Variance 0.5125479 0.3125160 0.1749361
## Cumulative Proportion  0.5125479 0.8250639 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.455  0.801  0.388
## Y  0.685        -0.728
## Z  0.569 -0.597  0.565

When we look at the summary, we see that 51% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 2.

pca_class(3)  
## Importance of components:
##                          Comp.1    Comp.2    Comp.3
## Standard deviation     1.273669 0.9475424 0.6927707
## Proportion of Variance 0.540744 0.2992789 0.1599771
## Cumulative Proportion  0.540744 0.8400229 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.675         0.738
## Y  0.531  0.689 -0.494
## Z -0.513  0.725  0.460

When we look at the summary, we see that 54% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 3.

pca_class(4)  
## Importance of components:
##                           Comp.1    Comp.2    Comp.3
## Standard deviation     1.2846735 0.9605566 0.6534102
## Proportion of Variance 0.5501287 0.3075563 0.1423150
## Cumulative Proportion  0.5501287 0.8576850 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.681  0.113  0.724
## Y  0.634  0.404 -0.659
## Z -0.367  0.908  0.204

When we look at the summary, we see that 55% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 4.

pca_class(5)  
## Importance of components:
##                           Comp.1    Comp.2     Comp.3
## Standard deviation     1.3934383 0.9076507 0.48425204
## Proportion of Variance 0.6472234 0.2746099 0.07816668
## Cumulative Proportion  0.6472234 0.9218333 1.00000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.399  0.915       
## Y  0.643 -0.321  0.696
## Z  0.654 -0.243 -0.716

When we look at the summary, we see that 65% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 5.

pca_class(6)  
## Importance of components:
##                           Comp.1    Comp.2     Comp.3
## Standard deviation     1.3097601 0.9941695 0.54420161
## Proportion of Variance 0.5718239 0.3294577 0.09871846
## Cumulative Proportion  0.5718239 0.9012815 1.00000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.206  0.964  0.167
## Y -0.680  0.264 -0.684
## Z -0.704         0.710

When we look at the summary, we see that 57% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 6.

pca_class(7)  
## Importance of components:
##                           Comp.1    Comp.2    Comp.3
## Standard deviation     1.2480424 1.0144419 0.6428823
## Proportion of Variance 0.5192033 0.3430308 0.1377659
## Cumulative Proportion  0.5192033 0.8622341 1.0000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.229  0.925  0.304
## Y  0.715        -0.697
## Z  0.661 -0.377  0.649

When we look at the summary, we see that 52% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 7.

pca_class(8) 
## Importance of components:
##                           Comp.1    Comp.2     Comp.3
## Standard deviation     1.3565694 0.9675745 0.47277805
## Proportion of Variance 0.6134269 0.3120668 0.07450636
## Cumulative Proportion  0.6134269 0.9254936 1.00000000
## 
## Loadings:
##   Comp.1 Comp.2 Comp.3
## X  0.574  0.584  0.574
## Y  0.693        -0.721
## Z  0.436 -0.811  0.389

When we look at the summary, we see that 61% of the data can be explained with one component. It is better than the general PCA result if we want to explain the class 8.

In general, we can say that applying PCA for every class gives better result than applying to all class. This approach is applicable for this data, because we have only eight class. If we have many more class than eight, it would be more time consuming process.

2.6 Task D

When we look at the data, we can see that there are 315 time ordered information. This is a huge number to consider as feature number in a model. So, to reduce the number of feature is a good approach. To do so, we can use multi dimensional scaling (MDS) approach. Before this approach, we need to have distance matrix of the data. We can get distance matrix with dist function. We used manhattan method as calculating the distance, because we need to sum all distances of axes and this summation will be in a way like manhattan. So, to maintain the consistency, we should use the manhattan method. If we want to use euclidean method, we need to sum all axes’ distance in euclidean method, too.

x_train_distance = as.matrix(dist(x_train[, 2:316], method = 'manhattan'))
y_train_distance = as.matrix(dist(y_train[, 2:316], method = 'manhattan'))
z_train_distance = as.matrix(dist(z_train[, 2:316], method = 'manhattan'))

data_distance = x_train_distance + y_train_distance + z_train_distance
dim(data_distance)
## [1] 896 896

Now, we have a 896 x 896 distance matrix. After preparing the data, we can apply the MDS process and plot the result with respect to classes.

mds = cmdscale(data_distance, k=2)
mds = data.table(unlist(apply(x_train[, 1], 2, as.character)), D1 = mds[,1], D2 = mds[,2])

ggplot(mds, aes(x = D1, y = D2, color = class)) +
  geom_point() +
  labs(title = "Result of the MDS Process",
       x = "First Dimension",
       y = "Second Dimension")

When we look at the plot, we can see some interesting parts. Recall the classes 3 and 4, which are the opposite way of themselves. When we look at the plot, instances of class 3 have positive values in the first dimension and negative values in the second dimension. From class 4 respective, it has negative values in the first dimension and positive values in the second dimension. They are still negatively correlated in this reduced form. We can see the similar proposition between 5 & 6 and 7 & 8. Also, all members of any classes are plotted in the same region. So, as a result, this MDS process is a successful process.